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put this solution on YOUR website!To find the slope going from (1,4) to (7,2) 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 4 to 2, the change in these numbers is -2 (since

). If the x-coordinate changes from 1 to 7, then the change is 6 (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:
Which reduces to
So the slope is