Question

Find the equation of the line which passes through the point (−2,−5) and is parallel to the line −3x+5y=−4.

Answer 1

You first slice for y on the first equations, then use the point slope formula which is y-y1=m(x-x1) it’s parallel because it had the same slope

Answer 2

-3x+5y=-4
5y=3x-4
Y=3/5x-4/5


When it parallel to the line y=3/5x-4/5

It can be y=-3/5x+b

-5=6/5+b

B=-5-6/5=-25/5-6/5=-31/5

Y=-3/5x-31/5

3/5x+y=-31/5

Multiply 5

3x+5y=-31