Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3
The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
Cups,pints,quarts,gallons

You have two fractions with the same (common) denominator, so you
subtract the numerators and put that over the common denominator.
-5/2 is the answer to your question
Answer:
All real numbers
Step-by-step explanation:

Start by distributing -2 inside the parentheses.

Combine like terms on the right side of the equation.

Subtract 8 from both sides of the equation.

Divide both sides by -2 to isolate y.

This is a true statement, so there are infinite solutions.