To find the slope going from (5,3) to (6,7) we are going to calculate the change in y over the change in x, or the rise over the run. The change is the difference between the two coordinates. So if the y-coordinate of a point goes from 3 to 7, the change in these numbers is 4 (since  ). If the x-coordinate changes from 5 to 6, then the change is 1 (since  ). So to calculate the slope we use this formula:
Slope:
 where m is the slope
So now we let  , , , Now plug these numbers into the slope formula:
So after simplification the slope is  |
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