Slope Practice Question

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Slope question picture
Question 2
What is the slope of the line as shown in the picture?

Answer

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A.  0.5
B. -0.5
C.  2
D. -2
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Step by Step Solutions

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Step 1
Let's put 2 points on the graph. We will calculate the change in x and y using these points.

First, you 'run' to the left. This gives:

      change in x = 0 - 3
                      = -3 units

Now, you climb up. This gives:

       change in y = 6 - 0
                       = 6 units

Alternately, you can get the change in y and x by counting the number of grids.
                    
The change in x = -3 and change in y = 6
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Step 2
With the 'change in y' = 6 units and 'change in x' = -3 units, you can now calculate the slope:

     slope = change in y / change in x
             = 6/(-3)
             = -2

 
The slope is -2
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Step 3
From Step 2, the slope of the line is -2. Therefore, the answer is D.
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