What is the slope of a line that is perpendicular to 3y+2x=6?

2 Answers
Dillon B.
Apr 2, 2018

m=3/2

Explanation:

A line is a negative inverse of it perpendicular line.
This means m(1) m(1)=-1/(m(2))

Through manipulation of the equation we change it to y=-2/3x+6/3
The -2/3 infront of the represents the slope of the line.
Using idea from earlier we flip the gradient and times it by -1.
-2/3=-1/m (cross multiply)

3m=2 (divide the 3)

m=3/2

Mark D.
Apr 2, 2018

3/2

Explanation:

If two lines are perpendicular then the result of multiplying the two gradients together always equals -1

Rearrange the equation to find the gradient:

3y +2x = 6

=> 3y = -2x +6

=> y = -2/3x +2

Gradient = -2/3 the reciprocal is 3/2

-2/3 xx 3/2 = -1

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