Find equation of the line

Question

Find an equation of the line (slope intercept form) with the point (-2,-4) and is parallel to the line -3x+y=6

Answer 1

Parallel lines have equal slopes, so the slope of the parallel line is

m = 3

y = 3x + b

Find b from the given point.

-4 = 3(-2) + b

-4 = -6 + b

b = 2

y = 3x + 2