Write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation

Question

(-3,4), 3y=2x-3

Right in equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation

Answer 1

y = mx + b

m = 2/3 (parallel lines have equal slopes)

y = (2/3)x + b

4 = (2/3)(-3) + b

4 = -2 + b

b = 6

y = (2/3)x + 6