Line AB contains points A (0, 0) and B (2, 2). Line CD contains points C (3, 1) and D (5, 3). Lines AB and CD are

parallel

perpendicular

neither

Question

Line AB contains points A (0, 0) and B (2, 2). Line CD contains points C (3, 1) and D (5, 3). Lines AB and CD are

 parallel

 perpendicular

 neither

johnweldon1993 · Answer

Find the slopes of each...if they are the same...these lines are parallel, however if they are the negative reciprocals of each other...they are then perpendicular lines

anonymous · Answer

so to find the slope i would use... (X2-X1)/(Y2-Y1)? or is that a different formula?

johnweldon1993 · Answer

No that is correct to an extent...however it is

$$\large \frac{y_2 - y_1}{x_2 - x_1}$$

just messed up the order of the 'y' and 'x'

anonymous · Answer

so i would get... 2-0/2-0?

anonymous · Answer

which would be 2/2?

johnweldon1993 · Answer

Right which is then simplified to...?

anonymous · Answer

1 which means that the slopes are parallel?

johnweldon1993 · Answer

Well that is just the slope of line AB....what is the slope of line CD?

anonymous · Answer

3-1/5-3

2/2

1

anonymous · Answer

so both slopes are 1 meaning that they are parallel

johnweldon1993 · Answer

Right!

anonymous · Answer

thank you :D

johnweldon1993 · Answer

No problem!