Question

Write the equation of the line that is perpendicular to the line y = 3/2x + 4 and passes through the point (-6, 3).

y = 3/2x - 1

y = 3/2x + 3

y = -2/3x - 1

y = -2/3x + 3

Answer 1

@iGreen

Answer 2

Okay, perpendicular lines have OPPOSITE slope.

So what two options can we eliminate?

Answer 3

c and d?

Answer 4

No, that's if we were looking for parallel lines, C and D are the one's we want because they have opposite slope to y = 3/2x + 4..

Answer 5

ohhh ok!

Answer 6

Okay, so we have to plug in (-6, 3) into both of the equations to see which one it is:

y = -2/3x - 1

3 = -2/3(-6) - 1

Multiply:

3 = 4 - 1

Can you subtract that?

Answer 7

3

Answer 8

Yep, so you get 3 = 3.

Which means y = -2/3x - 1 is the correct answer.

Answer 9

thank you!