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Calculate Slope With a Formula

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Calculate Slope With a Formula

 

 

Measure slope,  –m,  with the following formula:

my21                    x2x1

Be careful:  x and y are not raised to the 2nd power.

Calculate the slope of y= 1/2x +2 using the following points on the graph:  (2,3) and   (-8,-2).

Follow these steps:

1. Label x1y1,x2y2:

x1,y1      x2,y2
(2,3)     (-8,-2)

2. Plug the numbers into the formula:

m= -2−3
-8−2

3. Simplify: 

m= -5
-10

m= 1
2

Slope is 1/2.

Notice that the slope is the same here as it was when we used points A and B on the graph. For any given linear function, the slope is the same throughout the entire line.

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