What is the equation of a line parallel to line ab in slope intercept form

Question

The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, −2)?

 y = 2x − 4 y =  x −  y =  x −  y = 2x − 8

Answer 1

y=2x+4

parallel lines have the same slope

y=mx+b

y=2x+b containing the point (3,-2)

substitute

-2=2(3)+b

-2=6+b

b=-2-6

b=-8

y=2x-8 is the equation of the line