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5. What is the slope of a line that is perpendicular to the line represented by the equation 3x + 4y = 12?

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4
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User Voidref
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1 Answer

5 votes

Answer:
(4)/(3)

Explanation:

Before we find the slope of the perpendicular line, we have to find the slope of the given line. To do so, we want to change our equation into y=mx+b form.


3x+4y=12 [subtract both sides by 3x]


4y=-3x+12 [divide both sides by 4]


y=-(3)/(4) x+3

There are 2 things we have to do to find the slope of the perpendicular line. We have to find the reciprocal and change the sign.


-(4)/(3) [reciprocal]


(4)/(3) [change the sign]

Therefore, the slope of the perpendicular line is
(4)/(3).

User Soycharliente
by
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