Slope And Slope Intercept Form

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  • 1/12 Questions
    Which type of slope is shown? - ProProfs

    Which type of slope is shown?

    • Positive
    • Negative
    • Zero Slope
    • Undefined
Please wait...
About This Quiz


Within the mathematical study of algebra, the steepness of a hill or line is referred to as the “slope”. This is defined as the ratio of vertical difference to horizontal difference between two points; the rise to the run.

Slope And Slope Intercept Form - Quiz

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  • 2. 
    Which type of slope is shown? - ProProfs

    Which type of slope is shown?

    • Positive

    • Negative

    • Zero Slope

    • Undefined

    Correct Answer
    A. Positive
    Explanation
    The given answer is "Positive" because a positive slope indicates that the line is increasing from left to right. In other words, as the x-values increase, the corresponding y-values also increase.

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  • 3. 
    Which type of slope is shown? - ProProfs

    Which type of slope is shown?

    • Negative

    • Zero Slope

    • Undefined

    Correct Answer
    A. Undefined
  • 4. 

    Write an equation of the line that passes through each point with the given slope. (0, 9)   m = 5

    • Y = -5x + 9

    • Y = 5x + 9

    • Y = 5x - 9

    • Y = 3x + 5

    Correct Answer
    A. Y = 5x + 9
    Explanation
    The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 5. Since the line passes through the point (0, 9), the y-intercept is 9. Therefore, the equation of the line that passes through the point (0, 9) with a slope of 5 is y = 5x + 9.

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  • 5. 

    Find the slope of the line that passes through the pair of points. (–3, –2), (5, 4)

    Correct Answer
    A.
    Explanation
    To find the slope of a line passing through two points, we can use the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the first point are (-3, -2) and the coordinates of the second point are (5, 4). Plugging these values into the formula, we get (4 - (-2)) / (5 - (-3)) = 6 / 8 = 3 / 4. Therefore, the slope of the line passing through these two points is 3/4.

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  • 6. 

    Write an equation of the line with the given slope and y-intercept slope: 1.6, y-intercept: 4

    • Y = 1.6x + 4

    • Slope And Slope Intercept Form - Quiz

    • Y = -1.6x + 4

    • Y = 1.6x - 4

    Correct Answer
    A. Y = 1.6x + 4
    Explanation
    The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 1.6 and the y-intercept is 4. Therefore, the correct equation is y = 1.6x + 4.

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  • 7. 

    Find the slope of the line that passes through the pair of points. ( -2, 1 )   ( -5, 1 )

    • Undefined

    • 0

    • Slope And Slope Intercept Form - Quiz

    • Slope And Slope Intercept Form - Quiz
    Correct Answer
    A. 0
    Explanation
    The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. In this case, both points have the same y-coordinate, which means there is no change in the y-coordinate. Therefore, the slope is 0.

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  • 8. 

    Write an equation of the line that passes through the pair of points. ( 2, -4 )   ( 3, 6 )

    • Y = 10x + 24

    • Y = 10x - 24

    • Y = -10x - 24

    • Y = 10x + 14

    Correct Answer
    A. Y = 10x - 24
    Explanation
    The equation of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

    To find the slope (m), we use the formula: m = (y2 - y1) / (x2 - x1).
    Substituting the given points (2, -4) and (3, 6), we get: m = (6 - (-4)) / (3 - 2) = 10 / 1 = 10.

    Now that we have the slope, we can substitute it into the equation along with one of the given points to find the y-intercept (b). Using point (2, -4), we get: -4 = 10(2) + b. Solving for b, we find: b = -24.

    Therefore, the equation of the line passing through the given points is y = 10x - 24.

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  • 9. 
    Write an equation of the line with the given slope and y-intercept - ProProfs

    Write an equation of the line with the given slope and y-intercept

    Correct Answer
    A.
    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, since the slope and y-intercept are given, we can directly substitute the values into the equation.

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  • 10. 

    Write an equation of the line that passes through the pair of points. ( -5, -2 )   ( 3, -1 )

    Correct Answer
    A.
    Explanation
    The equation of the line passing through the points (-5, -2) and (3, -1) can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the formula m = (y2 - y1) / (x2 - x1), substituting the coordinates of the points (-5, -2) and (3, -1). After calculating the slope, we can substitute one of the points and the slope into the equation y = mx + b, and solve for b. Thus, the equation of the line is y = (1/8)x - 17/8.

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  • 11. 

    Write an equation of the line that passes through each point with the given slope. (-3, -4)   m = 3

    • Y = 3x + 13

    • Y = 3x - 5

    • Y = -3x + 5

    • Y = 3x + 5

    Correct Answer
    A. Y = 3x + 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 given slope is m = 3. To find the equation of the line, we can substitute the slope into the equation as y = 3x + b. To find the value of b, we can use one of the given points on the line. Substituting (-3, -4) into the equation, we get -4 = 3(-3) + b. Solving for b, we find b = 5. Therefore, the equation of the line is y = 3x + 5.

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  • 12. 
    Which type of slope is shown? - ProProfs

    Which type of slope is shown?

    • Positive

    • Negative

    • Zero Slope

    • No Slope

    Correct Answer
    A. No Slope
    Explanation
    No slope means that the line is horizontal and has a slope of zero. In this case, the question is asking about the type of slope shown, and since the answer is "No Slope," it means that the line is horizontal and has a slope of zero.

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Quiz Review Timeline (Updated): Dec 27, 2024 +

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  • Current Version
  • Dec 27, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 07, 2013
    Quiz Created by
    Kmaurer
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