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

y = 2x + 4

y = negative 1 over 2x − 1 over 2

y = − 1 over 2x − 7 over 2

y = 2x − 8

Our formula for equation is y = kx + m

2 lines are parallel to each other if they have same coefficient in front of x (letter k)  in this case that coefficient is number 2.

now we need to find m and we will do that by using coordinates of the point that has been given to use.
-2 = 2*3 + m
m=-8

Therefore the answer is y=2x-8