tell whether the lines for each pair of equations are parallel-A, perpendicular-B, or nether -C
b. 2x - 5y = 0 and y +3 = 5/2x
To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.
For the first equation, 2x - 5y = 0, we can rearrange it to find the slope-intercept form: y = (2/5)x. So, the slope of the first line is 2/5.
For the second equation, y + 3 = (5/2)x, we need to rewrite it in slope-intercept form as well. Subtracting 3 from both sides gives us y = (5/2)x - 3. So, the slope of the second line is 5/2.
Comparing the slopes, we see that the slopes of the two lines are not equal. Therefore, the lines are neither parallel nor perpendicular (option C).