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What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

User Roman Osypov
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1 Answer

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20 votes

Answer:

3

Explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

User Pieter Hintjens
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