Question 670263
Parallel lines have the same slope.
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Using 7x - 6y = 5
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6y = 7x - 5
{{{highlight_green(y=(7/6)x - 5/6)}}}
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The slope is {{{7/6}}}
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Applying slope and the given coordinates, solve for the y-intercept
-3 = {{{(7/6)(2) + b}}}
b ={{{-3 - 7/3 = -3(3/3) - 7/3 = -9/3 - 7/3 = 16/3}}}
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{{{highlight(y=(7/6)x+(16/3))}}}
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{{{graph(300,200,-10,10,-10,10,(7/6)x+(16/3),(7/6)x-(5/6))}}}
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