Question

Helppp??? I don't care if this one has steps or not I just need to complete it and turn it in!!

Answer 1

y = -3/2x - 3.

Explanation:

2x - 3y = 12

Find the slope of this line

-3y = - 2x + 12

y = 2/3 x - 4 so its slope id 2/3.

The slope of a line perpendicular to it has slope - 1 / 2/3

= -3/2.

Using y - y1 = m(x - x1) we have

y - 6 = -3/2(x - 2)

y = -3/2 x + 3 + 6

y = -3/2x + 9 is the answer.

Answer 2

Answer:
`y = (-3)/(2) x + 9`

I have reduced my explanation as per your request.

First, take the equation
`2x - 3y = 12`, and convert it into slope intercept form. You get
`y = (2)/(3) x + 4`. Since the line is perpendicular, then you take the negative reciprocal of
`(2)/(3)`. That is
`(-3)/(2)`. Then, write the equation of the new line as
`y - 6 = (-3)/(2) (x - 2)`. Convert the point slope equation into slope intercept and you get
`y = (-3)/(2) x + 9`.