Question

Attached.

Answer 1

use this formula, if you get same slope then its parallel but if =-1 then its perpendicular

Answer 2

How do I put my equation into that formula?

Answer 3

\[y=\frac{3}{4}(x+3)-2\]find any two points on this line
and find the slope.

(1,1) and (5,4) lies on this line.
so slope = (4-1) /(5-1) = 3/4
so the slope of perpendicular from this line = -4/3

Answer 4

y-2=(-4/3)(x-9)
3y-6=-4x+36
4x+3y=30

Answer 5

For parallel line through (9,2)
slope of line through (9,2)= 3/4 = slope of the given line
\[\frac{x-9}{y-2}=\frac{3}{4}\]
\[3y-6=4x-36\]
\[4x-3y-36+6=0\]
\[4x-3y-30=0\]