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# Find the equation of a line that goes through (-2,-4) and is perpendicular to y=2/3x-5?

Write in slope intercept form

### 2 Answers

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- 2 months ago
In order for two lines to be perpendicular, the product of their slopes must be equal to -1.

Thus the slope of this perpendicular line, m, is:

(2/3) * m = -1

m = -3/2

now plug this slope and the point we're given into the equation y=mx+b

-4 = (-3/2)*-2+b

-4 = 3 + b

-7 = b

then we know the answer is y = -3/2x-7

- rotchmLv 72 months ago
Hint:

Given y = mx + b. What is the slope of this line?

Then, what is therefore the slope M of the perpendicular of m ?

Answer these and we will take it from there.

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