Parallel and Perpendicular Lines

Question

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the line of the equation shown. (3,2) 3y=-2x

Answer 1

3y = -2x

y = (-2/3)x

The parallel line must also have slope -2/3

B = y - mx= 2 - (-2/3)(3) = 2 - -2 = 4

y = (-2/3)x + 4