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Find the equation of the line passing through (5,-3) that is parallel to the line 8x - y = 7.

 Jun 25, 2020
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Let's say our new line is y=mx+b, where m is the slope and b is the y-intercept.

First put the equation in slope-intercept form. y=8x-7

Parallel lines have the same slope. Our equation is now y=8x+b

Plug the point (5, -3) in.

-3=8*5+b

b=-43

So the equation of the line in slope-intercept form is y=8x-43.

If the question is asking for standard equation, then it would be 8x-y=43

 Jun 25, 2020

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