+9466 3y = 2x - 3
Divide everything by 3.
y = (2/3)x - 1
In this format, the coefficient of x is the slope. 2/3 is the slope.
Parallel lines have the same slope.
Plug in the point (-3, 4) using (2/3) as the slope and find the y-intercept, b.
4 = (2/3)(-3) + b
4 = -2 + b
6 = b
Parallel line: y = (2/3)x + 6
Perpendicular lines have a negative reciprocal slope.
Plug in the point (-3, 4) using (-3/2) as the slope and find the y-intercept, b.
4 = (-3/2)(-3) + b
4 = 9/2 + b
-1/2 = b
Perpendicular line: y = (-3/2)x - 1/2
