Question

Which of the following is the equation of a line perpendicular to the line , passing through the point (3,9)
http://i.imgur.com/lA2cGCN.png
http://i.imgur.com/zD0ngee.png

Answer 1

Please help

Answer 2

The slope of the line y = (-3/2) x + 4 is (-3/2).

Perpendicular lines have slopes that multiply to -1.

So, the slope of the perpendicular line is 2/3.

Answer 3

The perpendicular line has slope 2/3 and has to pass through the point (3,9).

The point-slope format for a line gives:

y - 9 = (2/3) * (x - 3)

Simplify that and see if any of your answer options look like what you get. @mikeshaw

Answer 4

I think I see the answer among the options. Do you?

Answer 5

D?

Answer 6

hold on

Answer 7

Not D. Crank out the equation.

Answer 8

y - 9 = (2/3) * (x - 3)

Multiply each side by 3

3y - 27 = 2*(x - 3)

3y - 27 = 2x - 6

Take it from there.

Answer 9

Hold on. I think I have an error.

Answer 10

Ican't figure it out :/

Answer 11

3y - 27 = 2x - 6

3y - 2x = 21 --> Do you see an option that looks like this? @mikeshaw

Answer 12

I see it. Do you?