Tell whether the lines for the pair of equations are parallel, perpendicular or neither.
y=-2/3x+1
2x-3y=-3
A. parallel
B. perpendicular
C. neither
To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the two lines.
The first equation is in slope-intercept form, y = mx + b, where m is the slope of the line. In this case, the slope is -2/3.
The second equation is in standard form, Ax + By = C, where A, B, and C are constants. To find the slope, we can rearrange this equation to slope-intercept form by solving for y:
2x - 3y = -3
-3y = -2x - 3
y = (2/3)x + 1
Comparing the slopes of the two lines, we see that they are both equal to -2/3. Since the slopes are the same, the lines are parallel.
Therefore, the answer is A. parallel.