5133 Gradient From Two Points
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Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
About This Quiz
The '5133 Gradient from Two Points' quiz assesses the ability to calculate the slope between two points on a coordinate plane. Each question requires deriving a slope as a fraction, sharpening skills in coordinate geometry and algebraic manipulation.
Quiz Preview
- 2.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 3.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
- 4.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 5.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 6.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 7.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 8.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 9.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 10.
Find the slope (gradient) that passes through the two points above. Give your answer as a fraction (ie. 3/4)
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.Rate this question:
- 11.
Find the slope (gradient) that passes through the two points above.
Explanation
The slope (gradient) that passes through the two points above is -3.Rate this question:
- 12.
Find the slope (gradient) that passes through the two points above.
Explanation
The slope (gradient) that passes through the two given points is -1.Rate this question:
- 13.
Find the slope (gradient) that passes through the two points above.
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.Rate this question:
- 14.
Find the slope (gradient) that passes through the two points above.
Explanation
The slope (gradient) that passes through the two points is 2.Rate this question:
- 15.
Find the slope (gradient) that passes through the two points above.
- 16.
Find the slope (gradient) that passes through the two points above.
Explanation
The slope (gradient) that passes through the two points is 3.Rate this question:
- 17.
Find the slope (gradient) that passes through the two points above.
Explanation
The slope (gradient) that passes through the two points is 3.Rate this question:
- 18.
Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.
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Positive
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Negative
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Zero
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Undefined
Correct Answer
A. ZeroExplanation
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.Rate this question:
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- 19.
Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.
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Positive
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Negative
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Zero
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Undefined
Correct Answer
A. ZeroExplanation
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.Rate this question:
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- 20.
Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.
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Positive
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Negative
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Zero
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Undefined
Correct Answer
A. UndefinedExplanation
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.Rate this question:
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- 21.
Find the gradient of the line that passes through the two points above. Which of the choices below best describes the slope.
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Positive
-
Negative
-
Zero
-
Undefined
Correct Answer
A. UndefinedExplanation
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.Rate this question:
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- 22.
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)
Correct Answer
3/4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 23.
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)
Correct Answer
-1/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 24.
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)
Correct Answer
-1/4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 25.
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)
Correct Answer
2/3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 26.
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)
Correct Answer
5/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 27.
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)
Correct Answer
-1/4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 28.
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)
Correct Answer
9/4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 29.
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)
Correct Answer
1/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 30.
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)
Correct Answer
-5/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 31.
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)
Correct Answer
-5/3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 32.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 33.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
1Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 34.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-5Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 35.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 36.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 37.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 38.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-5Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 39.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 40.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above.
Correct Answer
-3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 41.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
3/4Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 42.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
-7/5Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 43.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
3/5Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 44.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/5, -5/4).
Correct Answer
1/3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 45.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
1/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 46.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
-5/3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 47.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
1/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 48.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
5/2Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
- 49.
Each grid line on the graph above is one unit. Find the gradient of the line in the graph above. Enter your answer as a fraction (ie. 1/3, -5/4).
Correct Answer
4/3Explanation
Select two points that sit on both the x and y grid lines.Rate this question:
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Current Version
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Mar 20, 2023Quiz Edited by
ProProfs Editorial Team -
Jun 25, 2014Quiz Created by
Anthony Nunan