SOLUTION: how do you put (8,-3) (9,10) in slope intercept

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Question 354128: how do you put (8,-3) (9,10) in slope intercept
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Note: Knowing 2 points, determining the equation for the line in the slope-intercept form: y = mx + b. is done in 2 steps
First step: Use the point-slope formula for a line to determine the slope:
m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
.
(8,-3) (9,10)
m+=%2810+-+%28-3%29%29%2F%289+-+8%29
.
m+=%2813%2F1%29
m = 13
y = 13x + b
.
Second step: use one of the points to solve for b (the y-intercept )
.
(9,10)
10 = 117 + b
-107 = b
.
y = 13x -107
.