Tell whether the lines for the pair of equations are parallel, perpendicular, or neither.
у = -2/3x+1
2x-3y=-3
To determine whether two lines are parallel, perpendicular, or neither, we need to compare the slopes of the two lines. The slopes of the lines can be determined by comparing the coefficients of x in the equations.
The given pair of equations is:
у = -2/3x + 1
2x - 3y = -3
We can rewrite the second equation in slope-intercept form (y = mx + b):
-3y = -2x - 3
Dividing both sides by -3:
y = 2/3x + 1
Comparing the slopes of the two lines, we see that the coefficient of x in both equations is -2/3. Therefore, the lines are parallel.