Hi student, let me help you out!
.....................................................................................................
---------------------------------------------
<h3>Part 1.</h3>Perpendicular lines have slopes that are <u>opposite inverses </u>of each other.
The opposite inverse of 2 is .
Now let's stick in this number into the equation :
. Let's carry out several operations to determine the y intercept.
First, let's stick in -2 for x and y (Do you remember that the line passes through (-2,-2)? We're given that piece of information.)
.
You are probably thinking, "Why did you do that and just complicate things?" Wait for it! ^-^
Upon simplifying this, we obtain: . See, it's nice and smooth now.
One last operation remains. We need to subtract 1 from both sides: .
∴, the equation of the line is:
Hope this helped you out, ask in comments if any queries arise.
Best Regards!