SOLUTION: find the slope of the line that passes through the points (-4,1) and (3,8)

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Question 122809: find the slope of the line that passes through the points (-4,1) and (3,8)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Finding the slope
To find the slope going from (-4,1) to (3,8) 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 1 to 8, the change in these numbers is 7 (since 8-1=7). If the x-coordinate changes from -4 to 3, then the change is 7 (since 3--4=7). So to calculate the slope we use this formula:
Slope:

m=%28change_in_y%29%2F%28change_in_x%29=rise%2Frun where m is the slope

So now we let y%5B2%5D=8,y%5B1%5D=1,x%5B2%5D=3,x%5B1%5D=-4Now plug these numbers into the slope formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%288-%281%29%29%2F%283-%28-4%29%29+=+7%2F7


So after simplification the slope is m=1