Write the equation of the line parallel or perpendicular to the given line that passes through the given point. Give your answer in point slope form and slope intercept form

Question

1. Parallel to y=-4/5x + 1 that passes through (-3, -5)
2. Perpendicular to y=1/3x + 3 that passes through (4, 1)
3. Parallel to the given line that passes through (-6, 2)

Answer 1

I will not do this problem for you, but I will tell you how to do it.

Consider the equation of the given line to be y=mx+b.

The slope of the line parallel to this line is m.

The slope of the line perpendicular to this line is -1/m.

Now use the point slope form to get your answer: slope = (y-y₁)/(x-x₁) where (x₁,y₁) is the given point.

Then you will need to re-arrange ("massage") this form into the form required.

BTW in part 3, it is not clear what the "given line" is.