176k views
6 votes
Perpendicular to y=2/3x+2 and passes through the point (3,4). NEED HELP! TEST COMING SOON!

User Xzhsh
by
4.9k points

1 Answer

13 votes

Answer:

The perpendicular line to y=2/3x+2 and passes through the point (3,4) is y = -3/2x - 1/2

Explanation:

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.

so for the y=2/3x+2,

the slope is 2/3, the negative reciprocal is,

- 3/2 (new slope)

y = mx + b

y = (-3/2)x + b

plug in the point (3,4):

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

(4) = (-9/2) + b

(4) + (-9/2) = (-9/2) + (-9/2) + b

- 1 / 2 = b

y = (-3/2)x - 1/2

Let me know if you have any questions!

User SimpleOne
by
5.1k points