Slope Formula Practice

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Question 1

The coordinates of points A and B are (-3.0,5.0) and (9.0,2.0) respectively. Find the slope of the line AB.

You can use the following slope formula to help you:

Slope formula or gradient formula

Answer

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Select and check your answer...

A. -4
B. -0.25
C. 0.25
D. 4

Step by Step Solution

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    Step 1

    First, we have to assign (x1,y1) and (x2,y2) with the given coordinates.

    Now, referring to the picture on the right, we can assign the x and y coordinates of point A as:

    x1 = -3.0 and y1 = 5.0

    Similarly, for point B, we can assign its x and y coordinates as:

    x2 = 9.0 and y2 = 2.0
    Assigning X1 and Y1 to point A
    Assigning X2 and Y2 to point B
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    Step 2

    Now, we substitute y2 and y1 into the formula, we get:

    Subsituting X2 and X1 into the slope formula

    Next we, substitute x2 and x1 into the equation, we get:

    Subsituting Y2 and Y1 into the slope formula
    Assigning X1 and Y1 to point A
    Assigning X2 and Y2 to point B
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    Step 3

    Now, simplify the numerator and denominator to find the slope:

    Simplifying the slope formula
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    Step 4

    The slope is equals to -0.25. Clearly, the answer is B.

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