SOLUTION: write an equation for the line going through the point (3,2)and (-2, 4)

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: write an equation for the line going through the point (3,2)and (-2, 4)      Log On


   

Question 344753: write an equation for the line going through the point (3,2)and (-2, 4)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Using the point-slope formula, %28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+=+m to first find the slope(m) of the line
(3,2)and (-2, 4)
%282+-+4%29%2F%283+-+%28-2%29%29+=+m
m = -2/5
Then the point-slope formula, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29, with x = 3, & y = 2(for ex) will give the equation of the line by subsituting values
y -2 = -2/5 *x + 6/5
.
y = -2/5 *x + 16/5