Question

determine whether AB and CD are parallel, perpendicular,or neither. A(-1,-4), B(2,11), C(1,1), D(4,10)

Answer 1

Explanation:

the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).

the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).

so, the slopes are different

AB : 15/3 = 5

CD : 9/3 = 3

and the lines are therefore not parallel.

perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).

so, the 2 lines are "neither".