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What is the slope of a line perpendicular to the line with equation 5x+3y=7

User Mkso
by
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1 Answer

4 votes

Answer:

3/5

Explanation:

5x+3y=7

First we need to solve for the slope by finding y

Subtract 5x from each side

5x-5x+3y=-5x+7

3y = -5x+7

Divide by 3

3y/3 = -5x/3 +7/3

y = -5/3 x +7/3

This is in slope intercept form so we can see the slope is -5/3

We want a line that is perpendicular

That is the negative reciprocal

m perpendicular = - (-3/5)

= 3/5

User Sarah Cartenz
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6.4k points