SOLUTION: Write an equation of the line passing through the given points. (3,-12) and (-4,2)

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Question 184091: Write an equation of the line passing through the given points.
(3,-12) and (-4,2)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Given: (3,-12) and (-4,2)
Via Point-Slope Form: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
wheresystem%28y%5B2%5D=2%2Cy%5B1%5D=-12%2Cx%5B2%5D=-4%2Cx%5B1%5D=3%29
Then,
m=%282-%28-12%29%29%2F%28-4-3%29=%282%2B12%29%2F-7=14%2F-7=-2 Slope
Then via point (3,-12) thru Slope-Intercepty=mx%2Bb:
-12=-2%283%29%2Bb
b=-12%2B6=-6, Y-Intercept
Via point (-4,2):
2=-2%28-4%29%2Bb
b=2-8=-6, the same (should be)
Then it follows-----> highlight%28y=-2x-6%29, or highlight%282x%2By=-6%29 Std Form
We'll see the graph:

Thank you,
Jojo