SOLUTION: find the equation of the line which passes through the point (6,2) and the point of intersection of the lines 4y=-x+2 and x+3y=-1. Express your answer in standard form.

Algebra ->  Linear-equations -> SOLUTION: find the equation of the line which passes through the point (6,2) and the point of intersection of the lines 4y=-x+2 and x+3y=-1. Express your answer in standard form.       Log On


   

Question 366932: find the equation of the line which passes through the point (6,2) and the point of intersection of the lines 4y=-x+2 and x+3y=-1. Express your answer in standard form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the intersection point first.
4y=-x%2B2
x=2-4y
Substitute,
x%2B3y=-1
2-4y%2B3y=-1
-y=-3
highlight%28y=3%29
x=2-4%283%29
x=2-12
highlight%28x=-10%29
(-10,3)
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Find the slope between (-10,3) and (6,2)
m=%282-3%29%2F%286-%28-10%29%29=-%281%2F16%29
y=mx%2Bb
2=-%281%2F16%29%286%29%2Bb
2=-3%2F8%2Bb
b=19%2F8
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y=-%281%2F16%29x%2B19%2F8
16y=-x%2B38
highlight%28x%2B16y=38%29
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