SOLUTION: Find the slope-intercept equation of the line parallel to the line 12x + 3y = 15 and containing the point (–1, 7). Explain and show work.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the slope-intercept equation of the line parallel to the line 12x + 3y = 15 and containing the point (–1, 7). Explain and show work.       Log On


   

Question 364435: Find the slope-intercept equation of the line parallel to the line 12x + 3y = 15 and containing the point (–1, 7). Explain and show work.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of the first line by converting to slope-intercept form, y=mx%2Bb.
12x%2B3y=15
3y=-12x%2B15
y=-4x%2B5
m=-4
Parallel lines have identical slopes,
m%5B1%5D=m%5B2%5D=-4
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y=-4x%2Bb
Use the point (-1,7) to solve for b.
7=-4%28-1%29%2Bb
b=3
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highlight_green%28y=-4x%2B3%29
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