Slope, Intercepts And Parameter Changes Quiz
This quiz will test slope, intercepts and parameter changes.
- 1.
The y-intercept of the function y=3x + 4 is the point (0, 4).
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The y-intercept of a function is the point where the graph of the function intersects the y-axis. In the given function y=3x + 4, when x is 0, the equation becomes y=3(0) + 4, which simplifies to y=4. Therefore, the y-intercept of the function is the point (0, 4).Rate this question:
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- 2.
What is the slope and y-intercept of the function y= -5x - 2?
- A.
M= -2 and b= -5
- B.
M = -5 and b = -2
- C.
M = 1 and b = -5
- D.
M = -2 and b = 1
Correct Answer
B. M = -5 and b = -2Explanation
The slope-intercept form of a linear function is y = mx + b, where m represents the slope and b represents the y-intercept. In the given function y = -5x - 2, the coefficient of x (-5) represents the slope and the constant term (-2) represents the y-intercept. Therefore, the correct answer is m = -5 and b = -2.Rate this question:
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- 3.
If you double the slope of the function y=2x + 4, what effect will it have on the line?
- A.
The line will become less steep.
- B.
The line will shift up two.
- C.
The line will become more steep.
- D.
The line will shift down two.
Correct Answer
C. The line will become more steep.Explanation
If you double the slope of the function y=2x + 4, it means that the coefficient of x, which represents the slope, will be multiplied by 2. This will result in a steeper line because the slope determines how steep or flat the line is. Doubling the slope will make the line increase more rapidly as x increases, causing it to become more steep.Rate this question:
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- 4.
Which of the following functions is the steepest line? y = 2x y = 1/2x y = 4x y = 0.25x
- A.
Y = 2x
- B.
Y = 1/2x
- C.
Y = 4x
- D.
Y = 0.25x
Correct Answer
C. Y = 4xExplanation
The function y = 4x is the steepest line because the coefficient of x is the largest among all the given functions. The greater the coefficient of x, the steeper the line.Rate this question:
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- 5.
Determine the slope of the line.
- A.
3/4
- B.
-3/4
- C.
4/3
- D.
-4/3
Correct Answer
C. 4/3Explanation
The slope of a line can be determined by comparing the change in the y-coordinate to the change in the x-coordinate between any two points on the line. In this case, the slope is 4/3 because for every 4 units that the y-coordinate increases, the x-coordinate increases by 3 units.Rate this question:
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- 6.
I dentify the x-intercept of the line.
- A.
(0, -2)
- B.
(-2, 0)
- C.
(0, -3)
- D.
(-3, 0)
Correct Answer
B. (-2, 0)Explanation
The x-intercept of a line is the point where the line intersects the x-axis. In this case, the x-intercept is the point (-2, 0) because it is the only point given where the y-coordinate is 0, indicating that the line crosses the x-axis at that point.Rate this question:
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- 7.
Identify the y-intercept.
- A.
(2, 0)
- B.
(-3, 0)
- C.
(0, -3)
- D.
(0, 2)
Correct Answer
D. (0, 2)Explanation
The y-intercept is the point where the graph of a function intersects the y-axis. In this question, the point (0, 2) is the only option that lies on the y-axis. Therefore, it represents the y-intercept of the function.Rate this question:
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- 8.
Identify the x-intercept in the table.
- A.
(0, -1)
- B.
(-0.5, 0)
- C.
(1, -3)
- D.
(-1, 1)
Correct Answer
B. (-0.5, 0)Explanation
The x-intercept is the point where the graph of a function crosses the x-axis. In this table, the x-intercept occurs when the y-coordinate is 0. The only point with a y-coordinate of 0 is (-0.5, 0), so it is the x-intercept.Rate this question:
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- 9.
Determine the y-intercept from the table.
- A.
(-3,0)
- B.
(3, 6)
- C.
(6, 9)
- D.
(0, 3)
Correct Answer
D. (0, 3)Explanation
The y-intercept is the point where the graph of a function intersects the y-axis. In other words, it is the value of y when x is equal to 0. Looking at the table, we can see that when x is 0, y is 3. Therefore, the y-intercept is (0, 3).Rate this question:
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- 10.
Changing the linear parent function y = x to y = x - 4 will shift the line down four units.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
When a linear parent function y = x is changed to y = x - 4, it means that the y-coordinate of every point on the graph is reduced by 4 units. This results in shifting the entire line down by 4 units. Therefore, the statement "Changing the linear parent function y = x to y = x - 4 will shift the line down four units" is true.Rate this question:
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Sep 23, 2024Quiz Edited by
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Oct 10, 2013Quiz Created by
Cynthiasantana
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