find the equation of line f

Question

Line d is represented by the equation y=-3/4x+8. Line f is the equation parallel to line d that has an x-intercept at the point (-4,0). What is the equation of f? Please provide clear explanations. 

Answer 1

line d is y=(-3/4)x+8

parallel lines have the same slope

line f has slope (-3/4)

y=mx+b

y=(-3/4)x+b and goes through (-4,0)

0=(-3/4)(-4)+b

0=3+b

b=-3

y=(-3/4)x-3 is the line f parallel to line d