Give the equation of the line that passes through (-3,2) and is parallel to the line defined by x+3y=6

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16-09-2018
Mathematics

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Give the equation of the line that passes through (-3,2) and is parallel to the line defined by x+3y=6

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Please answer and explain your reasoning thanks!

Crunchies Crunchies · Answer 1 · 2018-09-16T05:37:51+02:00

Crunchies Crunchies

16-09-2018

x+3y=6
3y=-x+6
y=-(1/3)x+2

m=-1/3
y=mx+c
When y=2, x=-3, m=(-1/3),
2=(-1/3)*(-3)+c
2=1+c
c=1
So, the equation would be:
y=(-1/3)x+1

Hopefully that helps

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