Slope, Intercepts And Parameter Changes Quiz

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| By Cynthiasantana
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Cynthiasantana
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Quizzes Created: 2 | Total Attempts: 1,225
| Attempts: 414
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  • 1/10 Questions

    Changing the linear parent function y = x to y = x - 4 will shift the line down four units.

    • True
    • False
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About This Quiz

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.

Slope, Intercepts And Parameter Changes Quiz - Quiz

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  • 2. 

    What is the slope and y-intercept of the function y= -5x - 2?

    • M= -2 and b= -5

    • M = -5 and b = -2

    • M = 1 and b = -5

    • M = -2 and b = 1

    Correct Answer
    A. M = -5 and b = -2
    Explanation
    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.

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  • 3. 

    If you double the slope of the function y=2x + 4, what effect will it have on the line?

    • The line will become less steep.

    • The line will shift up two.

    • The line will become more steep.

    • 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.

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  • 4. 
    Determine the slope of the line. - ProProfs

    Determine the slope of the line.

    • 3/4

    • -3/4

    • 4/3

    • -4/3

    Correct Answer
    A. 4/3
    Explanation
    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.

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  • 5. 

    The y-intercept of the function y=3x + 4 is the point (0, 4).

    • True

    • False

    Correct Answer
    A. True
    Explanation
    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).

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  • 6. 
    Identify the y-intercept. - ProProfs

    Identify the y-intercept.

    • (2, 0)

    • (-3, 0)

    • (0, -3)

    • (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.

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  • 7. 

    Which of the following functions is the steepest line? y = 2x y = 1/2x y = 4x y = 0.25x

    • Y = 2x

    • Y = 1/2x

    • Y = 4x

    • Y = 0.25x

    Correct Answer
    A. Y = 4x
    Explanation
    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.

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  • 8. 
    Determine the y-intercept from the table. - ProProfs

    Determine the y-intercept from the table.

    • (-3,0)

    • (3, 6)

    • (6, 9)

    • (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).

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  • 9. 
    I dentify the x-intercept of the line. - ProProfs

    I dentify the x-intercept of the line.

    • (0, -2)

    • (-2, 0)

    • (0, -3)

    • (-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.

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  • 10. 
    Identify the x-intercept in the table. - ProProfs

    Identify the x-intercept in the table.

    • (0, -1)

    • (-0.5, 0)

    • (1, -3)

    • (-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.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 06, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 10, 2013
    Quiz Created by
    Cynthiasantana
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