Question

whats an equation of a line that contains the given point of (-2,-4) that is parallel to the given line of y=3x+6?

Answer 1

a line that is paralell has the same slope
y=mx+b
m=slope
given
y=3x+6
3=slope

so the other line is y=3x+b
find b

given
(-2,-4)
x=-2 and y=-4 is a solution

subsitute
-4=3(-2)+b
-4=-6+b
add 6
2=b

y=3x+2 is the line