Question

A line passes through the point (–3, –4) and its y-intercept is (0, –9). What is the equation of the line that is parallel to the first line and passes through the point (3, –7)?
A.y=3/5x+2
B. y=5/3x+2
C. y=-5/3x-2
D.5/3x-2

Answer 1

First you need to find the equation of the first line because it will have the same slope as the second line because the two lines are parallel.

y=mx-9

-4=-3m-9
5=-3m  m=-5/3

For the second equation. 
y=-5/3x + B

-7=(-5/3)(3) +b

-7=-5+B
b=-2

y=-5/3x -2