Question 673811
Given
x+3y = 8
3y = -x + 8
{{{highlight(y = (-1/3)x + (8/3))}}}
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slope is {{{-1/3}}}, a parallel line will have the SAME slope
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Using the point and slope in the point-slope formula
y - 9 = {{{-1/3}}}(x-6)
y - 9 = {{{-1/3}}}x + {{{-1/3}}}(-6)
y - 9 = {{{-1/3}}}x + 2
y = {{{-1/3}}}x + 2 + 9
{{{highlight_green(y=(-1/3)x+11)}}}
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{{{graph(300,200,-5,20,-5,20,(-1/3)x+(8/3), (-1/3)x+11)}}}
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