Point Slope Trivia Quiz

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| By Jlaw
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Jlaw
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Quizzes Created: 1 | Total Attempts: 816
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  • 1/5 Questions

    What is the equation in point slope form given the slope is 6 and goes through the point (-4,-16).

    • Y - 16. = 6(x - 4)
    • Y + 16 = 6( x +4)
    • Y - 4 = 6(x - 16)
    • Y + 4 = 6(x +16)
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About This Quiz


Point slope is the calculation of gradient of a line at en exact point within the line. The point slope quiz below consists of five simple questions to test and advance your knowledge on the subject.

Point Slope Trivia Quiz - Quiz

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  • 2. 

    What is the equation of the line that has a slope of -2/3 and passes through the point (6, 1)?

    • Y = -2/3 x + 1

    • Y = -2/3 + 5

    • Y = -2/3 x + 6

    Correct Answer
    A. Y = -2/3 + 5
    Explanation
    The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -2/3. The line passes through the point (6, 1), so we can substitute these coordinates into the equation to solve for b. Plugging in the values, we get 1 = (-2/3)(6) + b. Simplifying, we find b = 5. Therefore, the equation of the line is y = -2/3x + 5.

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  • 3. 

    What is the equation of the line that has a slope of -4/7 and passes through the point (0, -3)?

    • Y = -4/7x - 3

    • Y = -4/7x + 17/7

    • Y = -4/7 - 25/7

    Correct Answer
    A. Y = -4/7x - 3
    Explanation
    The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7. The point (0, -3) is given, which represents the y-intercept. Therefore, the equation of the line can be written as y = -4/7x - 3.

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  • 4. 

    What is the equation of the line that has a slope of 1/4 and passes through the point (5, -2)?

    • Y = 1/4x - 2

    • Y = 1/4x + 3/4

    • Y = 1/4x - 13/4

    Correct Answer
    A. Y = 1/4x - 13/4
    Explanation
    The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is given as 1/4. We can substitute this value into the equation as m to get y = 1/4x + b. To find the value of b, we can use the given point (5, -2). By substituting x = 5 and y = -2 into the equation, we can solve for b. After substituting the values, we get -2 = 1/4(5) + b. Simplifying the equation gives us -2 = 5/4 + b. By rearranging the equation, we find b = -2 - 5/4 = -8/4 - 5/4 = -13/4. Therefore, the equation of the line is y = 1/4x - 13/4.

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  • 5. 

    What is the equation of the line with a slope of -3 and passes through the point (-1, 3)

    • Y - 3 = -3(x -1)

    • Y-3 = -3x +1

    • Y - 3 = -3x + 3

    Correct Answer
    A. Y - 3 = -3x + 3
    Explanation
    The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is -3 and the line passes through the point (-1, 3). Plugging these values into the point-slope form equation, we get y - 3 = -3(x - 1). Simplifying this equation gives us y - 3 = -3x + 3, which matches the given answer.

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  • Current Version
  • Jan 06, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 20, 2014
    Quiz Created by
    Jlaw
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