Question

Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).

Answer 1

3x + 2y = -20

rearrange to make y subject so

y=-3(x/2)-10

so the gradient of the line is -3/2

so the gradient of the new line is -3/2 as it is parallel.

so the new line is of the form

y=(-3/2)x + c

you have two values in the question
x=24
y=12

substitute these to find c.