Slope, Intercepts And Parameter Changes Quiz
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The y-intercept of the function y=3x + 4 is the point (0, 4).
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True
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False
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This quiz assesses understanding of linear equations, focusing on determining slopes, x-intercepts, and y-intercepts, both from equations and tables. It enhances skills in analyzing the effects of parameters on line equations, crucial for algebra students.
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- 2.
What is the slope and y-intercept of the function y= -5x - 2?
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M= -2 and b= -5
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M = -5 and b = -2
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M = 1 and b = -5
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M = -2 and b = 1
Correct Answer
A. 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?
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The line will become less steep.
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The line will shift up two.
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The line will become more steep.
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The line will shift down two.
Correct Answer
A. 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
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Y = 2x
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Y = 1/2x
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Y = 4x
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Y = 0.25x
Correct Answer
A. 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.
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3/4
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-3/4
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4/3
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-4/3
Correct Answer
A. 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.
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(0, -2)
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(-2, 0)
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(0, -3)
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(-3, 0)
Correct Answer
A. (-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.
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(2, 0)
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(-3, 0)
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(0, -3)
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(0, 2)
Correct Answer
A. (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.
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(0, -1)
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(-0.5, 0)
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(1, -3)
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(-1, 1)
Correct Answer
A. (-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.
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(-3,0)
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(3, 6)
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(6, 9)
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(0, 3)
Correct Answer
A. (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.
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True
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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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Current Version
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Jan 06, 2025Quiz Edited by
ProProfs Editorial Team -
Oct 10, 2013Quiz Created by
Cynthiasantana
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