im suppposed to determine if this is parralled perpendicular or neither

2x+3y=2
3x-2y=9

1 answer

Find the slope of each line. Denote them by m1 and m2.

To find the slope, transform the equation to the slope-intercept form, for example, for Line L1,
2x+3y=2
3y=-2x+2
y=(-2/3)x+2/3
the slope m1 is therefore (-2/3)
Proceed the same way for Line 2 to find m2.

If the lines are parallel, m1=m2.
If the lines are perpendicular, m1*m2=-1.
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