What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ? enter your equation in the box.

We are given that

line is perpendicular to

Firstly, we will solve for y

Add both sides by x

Divide both sides by 3

now, we can compare it with slope -intercept form of line

where m is slope

so, we can find m

now, we are given that line perpendicular

so, we can find slope of perpendicular line

we know that product of two perpendicular lines are always -1

so,

now, we can solve for mp

now, it passes through point (−3, 2)

so,

now, we can use point slope form of line

we can plug values

now, we can solve for y

Add both sides by 2

So, equation of our line is

.................Answer

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3