Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.

Question

Y=-2/3x+1
2x-3y=-3

Answer 1

To determine if the lines are parallel, perpendicular, or neither, we can compare the slopes of the lines.

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

Comparing the slopes, we can see that the slope of the first equation is -2/3 and the slope of the second equation is 2/3.

Since the slopes are negative reciprocals of each other, the lines are perpendicular.