Slope Formula Practice

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Slope formula or gradient formula
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:

Answer

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A. -4
B. -0.25
C. 0.25
D. 4
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Step by Step Solution 

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Step 1
First, we have to assign (x1,y1) and (x2,y2) with the given coordinates.

Assigning X1 and Y1 to point A
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 X2 and Y2 to point B
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Step 2
Now, we substitute y2 and y1 into the formula, we get:






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

Subsituting Y2 and Y1 into the slope formula
Subsituting X2 and X1 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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