1.) Given points A(-4, 5), B(2, 3), C(0, 4) and D(5, 0), decide if AB and CD are parallel, perpendicular or neither.

2.)Given the equations y = 1x + 7 and y = 3x - 2, decide whether the lines are parallel, perpendicular or neither.

3.) Given the equations y = 4/3x - 3 and y = -3/4x + 2, decide whether the lines are parallel, perpendicular, or neither.

3 answers

If two lines are parallel then their slopes are equal
If two lines are perpendicular, their slopes are negative reciprocals of each other (opposite in sign and the fraction is flipped)

for the first one, find
slope(AB) and slope(CD), and decide

second is very easy
slope of first is 1
slope of second is 3
"nothing to see here, folks"

the third:
slope of first is 4/3
slope of second is -3/4
mmmhhh?

Thanks :)

6+7