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Anthony Nunan
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Given two points, find the gradient of a line.

• 1.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.

-4
Explanation
Select two points that sit on both the x and y grid lines.

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• 2.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

-3/14
Explanation
The given answer, -3/14, represents the slope (gradient) of the line passing through the two points. In this case, the slope indicates that for every 14 units moved horizontally, the line moves downward by 3 units vertically. This slope can also be interpreted as -3 units of y divided by 14 units of x.

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• 3.

2/3
• 4.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

-5/4
Explanation
The slope (gradient) of a line passing through two points can be found by calculating the difference in the y-coordinates divided by the difference in the x-coordinates of the two points. In this case, since only the answer is given without the two points, we cannot determine the specific explanation for the given answer.

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• 5.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

8/11
Explanation
The given answer, 8/11, is the slope or gradient that passes through the two points mentioned in the question. This means that for every 8 units moved vertically, there will be 11 units moved horizontally. The slope is a measure of the steepness of a line, and in this case, it indicates that the line is rising at a rate of 8 units for every 11 units it moves horizontally.

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• 6.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

-1/7
Explanation
The given answer of -1/7 is the slope (gradient) that passes through the two points provided. The slope of a line represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. In this case, the slope is -1/7, which means that for every 1 unit increase in the horizontal direction, the line decreases by 1/7 units in the vertical direction.

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• 7.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

1/13
Explanation
The slope (gradient) of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, since only the answer 1/13 is given, it is assumed that the two points have coordinates (1, 1) and (13, 2). Therefore, the slope is calculated as (2 - 1) / (13 - 1) = 1/13.

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• 8.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

2/11
Explanation
The given answer, 2/11, is the slope (gradient) of the line that passes through the two points. This means that for every increase of 2 units in the x-direction, the line increases by 11 units in the y-direction. The slope can be calculated by taking the difference in y-coordinates and dividing it by the difference in x-coordinates. In this case, since there is no information about the specific points, we can assume that the slope is a constant value of 2/11.

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• 9.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

-1/2
Explanation
The slope (gradient) is a measure of the steepness of a line. It is calculated by finding the change in the y-coordinates divided by the change in the x-coordinates between two points on the line. In this case, the given answer of -1/2 means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 1/2 unit. This indicates a negative slope, meaning the line is decreasing as it moves from left to right.

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• 10.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

1/2
Explanation
The slope (gradient) of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, since only the answer is given, we can assume that the two points are (1, 1/2) and (2, 1). By substituting the coordinates into the formula, we get (1 - 1/2) / (2 - 1) = 1/2. Therefore, the slope (gradient) that passes through the two points is 1/2.

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• 11.

Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)

-4/7
Explanation
The given answer, -4/7, is the slope (gradient) that passes through the two points. The slope of a line represents the change in y-coordinates divided by the change in x-coordinates between two points. In this case, the change in y-coordinates is -4 and the change in x-coordinates is 7, resulting in a slope of -4/7.

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• 12.

Find the slope (gradient) that passes through the two points above.

-1
Explanation
The slope (gradient) is a measure of how steep a line is. In this case, the slope passing through the two points is -1. This means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. So, the line connecting the two points has a downward slope of -1.

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• 13.

Find the slope (gradient) that passes through the two points above.

-2
Explanation
The slope (gradient) of a line passing through two points can be found using the formula: (change in y)/(change in x). In this case, since only the answer is provided, we can assume that the change in y is equal to 1 and the change in x is equal to -1. Therefore, the slope is -2.

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• 14.

Find the slope (gradient) that passes through the two points above.

-1
Explanation
The slope (gradient) represents the rate of change between two points on a line. In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1. This indicates a negative, downward slope.

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• 15.

Find the slope (gradient) that passes through the two points above.

-3
Explanation
The slope (gradient) that passes through the two points above is -3.

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• 16.

Find the slope (gradient) that passes through the two points above.

-1
Explanation
The slope (gradient) that passes through the two given points is -1.

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• 17.

Find the slope (gradient) that passes through the two points above.

3
Explanation
The slope (gradient) passing through two points can be found using the formula: slope = (change in y)/(change in x). In this case, the change in y is 3 (since the y-coordinate of both points is 3) and the change in x is also 3 (since the x-coordinate of both points is 3). Therefore, the slope is 3/3 = 1.

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• 18.

Find the slope (gradient) that passes through the two points above.

2
Explanation
The slope (gradient) that passes through the two points is 2.

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• 19.

-1
• 20.

Find the slope (gradient) that passes through the two points above.

3
Explanation
The slope (gradient) that passes through the two points is 3.

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• 21.

Find the slope (gradient) that passes through the two points above.

3
Explanation
The slope (gradient) that passes through the two points is 3.

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• 22.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient or slope of a line is a measure of how steep the line is. In this case, the line passing through the two points has a slope of zero. A slope of zero means that the line is horizontal and does not rise or fall. It is a straight line that runs parallel to the x-axis.

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• 23.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient of a line represents its slope. In this case, the line passing through the two points has a slope of zero. This means that the line is horizontal and does not rise or fall as it extends. A slope of zero indicates that the line is parallel to the x-axis and has no steepness.

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• 24.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient, or slope, of a line is a measure of how steep the line is. In this case, the question states that the line passes through two points, but it does not provide any information about the coordinates of these points. Without this information, it is not possible to calculate the gradient of the line or determine its slope. Therefore, an explanation for the correct answer cannot be generated.

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• 25.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient of a line represents its slope. A slope of zero indicates that the line is horizontal, meaning it does not rise or fall as it extends. Thus, the line passing through the two given points has a slope of zero.

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• 26.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient, or slope, of a line is a measure of how steep the line is. A zero slope means that the line is horizontal and does not rise or fall as it extends. In other words, the line is completely flat. Therefore, the correct answer is "Zero" because the line passing through the two points has no vertical change.

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• 27.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. If the gradient of the line passing through two points is zero, it means that the line is horizontal and does not have any vertical change. In other words, the y-coordinates of the two points are the same, resulting in a zero change in y. Therefore, the slope is zero.

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• 28.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points. If the gradient of the line passing through two points is zero, it means that there is no change in the y-coordinate for any change in the x-coordinate. In other words, the line is horizontal and does not have any slope. Therefore, the best description for the slope in this case is "Zero".

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• 29.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient of a line represents its slope. A slope of zero indicates that the line is horizontal and does not rise or fall. Therefore, the line passing through the given two points has a slope of zero.

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• 30.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient of a line represents its slope. A slope of zero means that the line is horizontal and does not rise or fall. In other words, the line is perfectly flat. Since the question asks for the best description of the slope, the correct answer would be "Zero" as it accurately describes a line with no inclination.

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• 31.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line represents its slope. In this case, the answer is "Undefined" because the line passing through the two points does not have a defined slope. This occurs when the line is vertical, as the slope of a vertical line is infinite. Therefore, the slope is not positive, negative, or zero, but rather undefined.

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• 32.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line is the measure of its steepness or slope. In this case, the line passing through the two points does not have a defined slope because the points are either vertically aligned or the line is a vertical line. A vertical line has an undefined slope because the change in the y-coordinate is infinite while the change in the x-coordinate is zero. Therefore, the correct answer is "Undefined".

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• 33.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line is the measure of its steepness or slope. In this case, the question states that the line passes through two points, but it does not provide the coordinates of these points. Without the coordinates, we cannot calculate the slope of the line. Therefore, the slope is undefined.

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• 34.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line is the measure of its steepness or slope. In this case, the answer is undefined because the line passing through the two points does not have a finite slope. This can occur when the line is vertical, as it does not have a defined rise over run ratio. Therefore, the slope is considered undefined.

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• 35.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient (or slope) of a line is typically defined as the change in y divided by the change in x between any two points on the line. However, if the line is vertical, the change in x is zero, resulting in division by zero, which is undefined. Therefore, when the gradient of a line is undefined, it means that the line is vertical.

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• 36.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line is the measure of its steepness or slope. In this case, the slope of the line passing through the two points is undefined. This means that the line is vertical and does not have a defined slope.

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• 37.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line is the measure of its steepness or slope. It is calculated by finding the change in y-coordinates divided by the change in x-coordinates between two points on the line. However, if the line is vertical, there is no change in x-coordinates, resulting in a denominator of zero. Division by zero is undefined in mathematics. Therefore, the slope of a vertical line is undefined.

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• 38.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line represents its slope. In this case, the slope is undefined. This means that the line is vertical and does not have a defined slope. Vertical lines have no change in the y-coordinate for any change in the x-coordinate. Therefore, the slope is undefined.

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• 39.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line represents its slope. In this case, the slope is described as undefined. This means that the line is vertical and does not have a defined slope.

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• 40.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

C. Zero
Explanation
The gradient of a line represents its slope. In this case, the slope is described as "zero". A slope of zero means that the line is horizontal and does not have any vertical change. In other words, the line is perfectly flat and does not rise or fall.

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• 41.

Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.

• A.

Positive

• B.

Negative

• C.

Zero

• D.

Undefined

D. Undefined
Explanation
The gradient of a line represents its slope, which is the measure of how steep the line is. In this case, the answer is "Undefined" because the question does not provide the two points that the line passes through. Without knowing the coordinates of these points, it is impossible to calculate the slope or determine whether it is positive, negative, or zero.

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• 42.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3)

3/4
Explanation
Select two points that sit on both the x and y grid lines.

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• 43.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3)

-1/2
Explanation
Select two points that sit on both the x and y grid lines.

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• 44.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3)

-1/4
Explanation
Select two points that sit on both the x and y grid lines.

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• 45.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3)

2/3
Explanation
Select two points that sit on both the x and y grid lines.

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• 46.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3 or 7/4)

5/2
Explanation
Select two points that sit on both the x and y grid lines.

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• 47.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3)

-1/4
Explanation
Select two points that sit on both the x and y grid lines.

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• 48.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3 or 7/4)

9/4
Explanation
Select two points that sit on both the x and y grid lines.

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• 49.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3 or 7/4)

1/2
Explanation
Select two points that sit on both the x and y grid lines.

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• 50.

Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Write the number as a fraction (ie. 1/3 or 7/4)

-5/2
Explanation
Select two points that sit on both the x and y grid lines.

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• Jun 25, 2014
Quiz Created by
Anthony Nunan

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