Slope From A Table, Graph & Equation

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| By Cynthiasantana
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Cynthiasantana
Community Contributor
Quizzes Created: 2 | Total Attempts: 1,193
Questions: 9 | Attempts: 799

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Slope Quizzes & Trivia

This quiz will assess finding slope from a table, two points, graph, and equation.


Questions and Answers
  • 1. 

    Which line is steeper?

    • A.

      Y = 5x

    • B.

      Y = 0.5x

    Correct Answer
    A. Y = 5x
    Explanation
    The bigger the number the steeper the line.

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  • 2. 

    What is the slope of the line  y = 9x + 4?

    • A.

      4

    • B.

      4/9

    • C.

      9/4

    • D.

      9

    Correct Answer
    D. 9
    Explanation
    Slope is the m in the equation mx + b..... so 9 is the slope.

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  • 3. 

    Find the slope given the following points ( 2, 0)  and ( 1, 2)

    • A.

      1

    • B.

      -2

    • C.

      2

    • D.

      -1

    Correct Answer
    D. -1
    Explanation
    The slope of a line is determined by the change in the y-coordinates divided by the change in the x-coordinates between two points on the line. In this case, the change in y is -2 (2 - 0) and the change in x is -1 (1 - 2). Therefore, the slope is -2/-1, which simplifies to 2.

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  • 4. 

    What is the y-intercept of the following line: y = 2x + 4?

    • A.

      (0,4)

    • B.

      (2,0)

    • C.

      (0,2)

    • D.

      (4,0)

    Correct Answer
    A. (0,4)
    Explanation
    The y-intercept of a line is the point where the line intersects the y-axis. In the equation y = 2x + 4, the constant term 4 represents the y-coordinate of the y-intercept. Therefore, the y-intercept is at the point (0,4).

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  • 5. 

    Which of the following describes the function y=3x - 5 correctly?

    • A.

      The linear function has a slope of 3 and a y-intercept of (0, 5)

    • B.

      The linear function has a slope of -5 and a y-intercept of (0,3)

    • C.

      The linear function has a slope of 3 and a y-intercept of (5,0)

    • D.

      The linear function has a slope of 3 and a y-intercept of (0,-5)

    Correct Answer
    D. The linear function has a slope of 3 and a y-intercept of (0,-5)
    Explanation
    The correct answer is that the linear function has a slope of 3 and a y-intercept of (0, -5). This means that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 3. The y-intercept is the point where the line crosses the y-axis, which in this case is at (0, -5).

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  • 6. 

    Which one the following is the correct function for the following description?
    • A linear function with a slope of 1/4 and a y-intercept of (0,2).

    • A.

      Y=1/4x - 2

    • B.

      Y=2x + 1/2

    • C.

      Y=1/4x + 2

    • D.

      Y=1/4x - 2

    Correct Answer
    C. Y=1/4x + 2
    Explanation
    The correct function for the given description is y=1/4x + 2. This function represents a linear relationship with a slope of 1/4, meaning that for every increase of 1 in the x-coordinate, the y-coordinate increases by 1/4. The y-intercept is (0,2), which means that the line crosses the y-axis at y=2. Therefore, the equation y=1/4x + 2 satisfies both the slope and y-intercept conditions.

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  • 7. 

    Compare the following linear functions.
    1. y = 2x + 5
    2. y = 2x - 5
    1. y=2x - 5

    • A.

      The second function shifted 10 units down

    • B.

      The second function shifted 5 units down

    • C.

      The second function shifted 5 units up

    • D.

      The second function shifted 10 units up

    Correct Answer
    A. The second function shifted 10 units down
    Explanation
    The correct answer is that the second function shifted 10 units down. This can be determined by comparing the two functions. In the first function, y = 2x + 5, the constant term is +5, indicating that the graph of the function intersects the y-axis at the point (0, 5). In the second function, y = 2x - 5, the constant term is -5, indicating that the graph of the function intersects the y-axis at the point (0, -5). Since the constant term changed from +5 to -5, the function shifted 10 units down.

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  • 8. 

    The linear parent function is y = x?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The linear parent function is y = x because it represents a straight line with a slope of 1 and passes through the origin (0,0). In this function, the value of y is always equal to the value of x, which makes it a simple and basic representation of a linear relationship. Therefore, the given statement is true.

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