5147 Horizontal & Vertical Graphs
Sometimes the gradient for a line is zero (ie. Y=4) and sometimes it is undefined because it is vertical (ie. X=-3). This quiz tests your ability to write equations for horizontal and vertical lines, and identify if a gradient is undefined or zero.
Questions and Answers
- 1.
What is the equation for the graph above? (no spaces)
Correct Answer
y=-5Explanation
The equation for the graph above is y=-5. This means that the value of y is always -5, regardless of the value of x. The graph would be a horizontal line at y=-5, parallel to the x-axis.Rate this question:
- 2.
What is the equation for the graph above? (no spaces)
Correct Answer
y=4Explanation
The equation for the given graph is y=4. This means that the value of y is always equal to 4, regardless of the value of x. The graph would be a horizontal line at y=4, parallel to the x-axis.Rate this question:
- 3.
What is the equation for the graph above? (no spaces)
Correct Answer
y=-2Explanation
The equation for the given graph is y=-2. This means that for every value of x, the corresponding value of y is always -2. The graph is a horizontal line that is parallel to the x-axis and passes through the y-coordinate -2.Rate this question:
- 4.
What is the equation for the graph above? (no spaces)
Correct Answer
y=-4Explanation
The equation for the graph above is y=-4. This means that the value of y is always -4, regardless of the value of x. The graph would be a horizontal line at y=-4 on the y-axis.Rate this question:
- 5.
What is the equation for the graph above? (no spaces)
Correct Answer
y=-1Explanation
The equation for the given graph is y=-1. This means that the value of y is always equal to -1, regardless of the value of x. The graph would be a horizontal line at y=-1, parallel to the x-axis.Rate this question:
- 6.
What is the equation for the graph above? (no spaces)
Correct Answer
y=2Explanation
The equation for the graph above is y=2 because the graph is a horizontal line that intersects the y-axis at the point (0, 2). This means that for every value of x, the corresponding value of y is always 2.Rate this question:
- 7.
What is the equation for the graph above? (no spaces)
Correct Answer
y=0Explanation
The equation for the graph above is y=0 because the graph is a horizontal line that intersects the y-axis at 0. This means that for every value of x, the corresponding value of y is always 0.Rate this question:
- 8.
What is the equation for the graph above? (no spaces)
Correct Answer
y=5Explanation
The equation for the given graph is y=5 because the graph is a horizontal line passing through the y-axis at the point (0,5). This means that for every value of x, the corresponding value of y is always 5.Rate this question:
- 9.
What is the equation for the graph above? (no spaces)
Correct Answer
y=-3Explanation
The equation for the graph above is y=-3 because the graph is a horizontal line that intersects the y-axis at -3. This means that for every value of x, the corresponding value of y is always -3.Rate this question:
- 10.
What is the equation for the graph above? (no spaces)
Correct Answer
y=3Explanation
The equation for the graph above is y=3. This means that the value of y is always 3, regardless of the value of x. The graph would be a straight horizontal line passing through the point (0,3) on the y-axis.Rate this question:
- 11.
What is the equation for the graph above? (no spaces)
Correct Answer
x=3Explanation
The equation for the graph above is x=3. This means that the value of x is always equal to 3, regardless of the value of y. The graph represents a vertical line passing through the point (3,0) on the x-axis.Rate this question:
- 12.
What is the equation for the graph above? (no spaces)
Correct Answer
x=5Explanation
The equation for the graph above is x=5. This means that the value of x is always equal to 5, regardless of the value of y. The graph is a vertical line passing through the x-coordinate 5, indicating that all points on the line have an x-coordinate of 5.Rate this question:
- 13.
What is the equation for the graph above? (no spaces)
Correct Answer
x=-5Explanation
The equation for the graph above is x=-5. This means that the value of x is always -5, regardless of the value of y. The graph is a vertical line passing through the point (-5, y) for all possible values of y.Rate this question:
- 14.
What is the equation for the graph above? (no spaces)
Correct Answer
x=-3Explanation
The equation for the graph above is x=-3 because the graph represents a vertical line passing through the point (-3, y). In a vertical line, the x-coordinate remains constant while the y-coordinate can take any value. Therefore, the equation for this graph is x=-3, indicating that the x-coordinate is always -3 regardless of the value of y.Rate this question:
- 15.
What is the equation for the graph above? (no spaces)
Correct Answer
x=-2Explanation
The equation for the given graph is x=-2. This means that the value of x is always -2, regardless of the value of y. The graph is a vertical line passing through the point (-2,0) on the x-axis.Rate this question:
- 16.
What is the equation for the graph above? (no spaces)
Correct Answer
x=1Explanation
The equation for the graph above is x=1. This means that the value of x is always equal to 1, regardless of the value of y. The graph would be a vertical line passing through the point (1,0) on the x-axis.Rate this question:
- 17.
What is the equation for the graph above? (no spaces)
Correct Answer
x=2Explanation
The equation for the graph above is x=2. This means that the value of x is always 2, regardless of the value of y. The graph represents a vertical line passing through the point (2,0) on the x-axis. Any point on this line will have an x-coordinate of 2.Rate this question:
- 18.
What is the equation for the graph above? (no spaces)
Correct Answer
x=-4Explanation
The equation for the graph above is x=-4. This means that the value of x is always -4, regardless of the value of y. The graph is a vertical line passing through the point (-4, 0) on the x-axis.Rate this question:
- 19.
What is the equation for the graph above? (no spaces)
Correct Answer
x=4Explanation
The equation for the graph above is x=4. This means that the value of x is always equal to 4, regardless of the value of y or any other variable. The graph would be a vertical line passing through the x-axis at the point (4,0).Rate this question:
- 20.
What is the equation for the graph above? (no spaces)
Correct Answer
x=0Explanation
The equation for the graph above is x=0. This means that the value of x is always 0, regardless of the value of y. In other words, all points on the graph lie on the vertical line passing through x=0.Rate this question:
- 21.
What is the equation for the graph above? (no spaces)
Correct Answer
y=1Explanation
The equation for the graph above is y=1 because the graph is a horizontal line that passes through the y-axis at the point (0, 1). This means that for every value of x, the corresponding value of y is always 1.Rate this question:
- 22.
What is the equation for the graph above? (no spaces)
Correct Answer
x=-1Explanation
The equation for the graph above is x=-1 because the graph is a vertical line passing through the point (-1, y). In the equation of a vertical line, the x-coordinate remains constant, and in this case, it is -1. This means that for every value of y, x will always be -1, resulting in a straight vertical line.Rate this question:
- 23.
The gradient of the graph above is best described as :
- A.
Undefined
- B.
Zero
Correct Answer
A. UndefinedExplanation
The gradient of the graph above is best described as undefined because there is a vertical line in the graph, which means that the change in y is infinite for any change in x. In other words, the slope of the graph cannot be determined because there is no consistent rate of change between the x and y values.Rate this question:
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- 24.
The gradient of the graph above is best described as :
- A.
Zero
- B.
Undefined
Correct Answer
A. ZeroExplanation
The gradient of the graph is described as zero because it has a constant slope and does not change. This means that for every change in the x-axis, there is no change in the y-axis. The graph is a horizontal line, indicating that the rate of change is zero. Therefore, the gradient is zero.Rate this question:
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- 25.
The gradient of the graph above is best described as :
- A.
Undefined
- B.
Zero
Correct Answer
A. UndefinedExplanation
The gradient of the graph is best described as undefined because the graph does not have a constant slope. The gradient of a graph represents the rate of change of the dependent variable with respect to the independent variable. In this case, since the graph does not have a consistent slope, it is not possible to determine a specific value for the gradient. Therefore, the correct answer is undefined.Rate this question:
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- 26.
The gradient of the graph above is best described as :
- A.
Undefined
- B.
Zero
Correct Answer
A. UndefinedExplanation
The gradient of the graph is best described as undefined because there is no consistent or constant rate of change between any two points on the graph. The graph may have vertical lines or sharp turns, indicating that the slope or gradient is not defined at those points.Rate this question:
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- 27.
The gradient of the graph above is best described as :
- A.
Undefined
- B.
Zero
Correct Answer
A. UndefinedExplanation
The gradient of a graph represents the rate of change of the dependent variable with respect to the independent variable. In this case, if the gradient is undefined, it means that the graph does not have a consistent rate of change. This could occur when there is a vertical line or a sharp corner in the graph, where the slope becomes infinite. Therefore, the best description for the gradient of the graph in this case is undefined.Rate this question:
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- 28.
The gradient of the graph above is best described as :
- A.
Undefined
- B.
Zero
Correct Answer
A. UndefinedExplanation
The gradient of a graph represents the slope of the line at any given point. If the gradient is undefined, it means that the graph does not have a consistent slope and is likely a vertical line. In other words, the change in y-coordinate is infinite for any change in x-coordinate. Therefore, the best description for the gradient of the graph is "undefined".Rate this question:
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- 29.
The gradient of the graph above is best described as :
- A.
Zero
- B.
Undefined
Correct Answer
A. ZeroExplanation
The gradient of the graph is best described as zero because the graph is a horizontal line. A horizontal line has a slope of zero because it does not have any vertical change, only horizontal change. Therefore, the gradient, which represents the rate of change of the graph, is zero.Rate this question:
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- 30.
The gradient of the graph above is best described as :
- A.
Zero
- B.
Undefined
Correct Answer
A. ZeroExplanation
The gradient of the graph is best described as zero because the graph is a horizontal line. In a horizontal line, the change in the y-coordinate is always zero regardless of the change in the x-coordinate. Therefore, the gradient, which represents the rate of change, is zero.Rate this question:
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- 31.
The gradient of the graph above is best described as :
- A.
Zero
- B.
Undefined
Correct Answer
A. ZeroExplanation
The gradient of the graph is best described as zero because the graph is a horizontal line. A horizontal line has a slope of zero because it does not have any vertical change. The line remains at the same y-coordinate for all values of x, indicating no change in the y-axis. Therefore, the gradient is zero.Rate this question:
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- 32.
The gradient of the graph above is best described as :
- A.
Zero
- B.
Undefined
Correct Answer
A. ZeroExplanation
The gradient of the graph is best described as zero because it indicates that there is no change in the y-coordinate for any change in the x-coordinate. In other words, the graph is a horizontal line, and the slope of a horizontal line is always zero.Rate this question:
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Mar 16, 2023Quiz Edited by
ProProfs Editorial Team -
Jun 26, 2014Quiz Created by
Anthony Nunan
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