SOLUTION: how do i write the standard form of an equation of the line that passes through a pair of points (6,5) (12,-3)

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Question 322736: how do i write the standard form of an equation of the line that passes through a pair of points (6,5) (12,-3)
Answer by QH(50) About Me  (Show Source):
You can put this solution on YOUR website!
First you need to find the slope so use m=%28y2-y1%29%2F%28x2-x1%29
Point 1 (6,5) is x1 and y1
Point 2 (12,-3) is x2 and y2
solve
m=%28y2-y1%29%2F%28x2-x1%29
m=%28-3-5%29%2F%2812-6%29
m=-8%2F6 or -4%2F3 is your slope.
Next use point slope formula y-y1=m%28x-x1%29 to find the equation.
y-5=%28-4%2F3%29%28x-6%29
y-5=%28-4%2F3%29x%2B8
y=%28-4%2F3%29x%2B13 <----- your equation :)

If you need Ax+By=C format simply rearrange the terms.
%284%2F3%29x%2By=13