find the slop intercept form of the equation of the line through (3,-3) and parallel to y=-7/3x-5

Question

I don't know how to convert to slope intercept form in this context.

Answer 1

Parallel lines have the same slope, so

y = (-7/3)x + b

Find b from the given point.

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

-3 = -7 + b

b = 4

y = (-7/3)x + 4