Answer:
y = 2/3x + 6
Step-by-step explanation:
First, put the original equation in y = mx + b form
3y = 2x − 3
y = 2/3x - 1
The slope of the other line will also be 2/3, since parallel lines have the same slope.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
4 = 2/3(-3) + b
4 = -2 + b
6 = b
Plug in the slope and b:
y = 2/3x + 6 is the equation of the line
