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: 1,185
Questions: 10 | Attempts: 390

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Slope, Intercepts And Parameter Changes Quiz - Quiz

This quiz will test slope, intercepts and parameter changes.


Questions and Answers
  • 1. 

    Determine the slope of the line.

    • A.

      3/4

    • B.

      -3/4

    • C.

      4/3

    • D.

      -4/3

    Correct Answer
    C. 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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  • 2. 

    Identify 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.

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  • 3. 

    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.

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  • 4. 

    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.

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  • 5. 

    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).

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  • 6. 

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

    • A.

      True

    • B.

      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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  • 7. 

    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 = -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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  • 8. 

    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.

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  • 9. 

    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 = 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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  • 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. True
    Explanation
    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.

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