SOLUTION: The equation of the line that passes through the points (-2,6) and (4,-3) is what?

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Question 849521: The equation of the line that passes through the points (-2,6) and (4,-3) is what?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the line that passes through the 
points (-2,6) and (4,-3) is what?

First we find the slope by using the slope formula:

m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

where (x1,y1) = (-2,6)
and where (x2,y2) = (4,-3)

m = %28%28-3%29-%286%29%29%2F%28%284%29-%28-2%29%29

m = %28-9%29%2F%284%2B2%29

m = %28-9%29%2F6

m = -3%2F2

Then we use the

point-slope formula:

y - y1 = m(x - x1)
where (x1,y1) = (-2,6)

y - 6 = -3%2F2[x - (-2)]

y - 6 = -3%2F2(x + 2)

y - 6 = -3%2F2x - 3
    
    y = -3%2F2x + 3

Edwin