Question

The equations of three lines are given below. Line 1:y=-2/3x-4 Line 2: 3y=-2x+5 Line 3: 3y=-2x+5 For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answer 1

You are given the equations of three lines are given below.
Line 1:y=-2/3x-4
Line 2: 3y=-2x+5
Line 3: 3y=-2x+5
And you are asked to determine whether they are parallel, perpendicular, or neither.

Line 1 and 2 is parallel because the slopes are equal. Line 1 and 3 is also parallel because the slopes are equal. Line 2 and 3 is also parallel because the slopes are equal.