Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y =- 2/3x + 1

Question

2x – 3y = –3

Answer 1

To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the two lines.

First, let's rewrite the second equation in slope-intercept form (y = mx + b):
2x - 3y = -3
-3y = -2x - 3
y = (2/3)x + 1

Comparing the two equations, we can see that both equations have a slope of -2/3.

Since the slopes are equal, the lines are parallel.