Question

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (-2,2). Are lines QR and ST parallel or perpendicular?

Answer 1

Lines are parallel.

Explanation:

For finding whether lines `QR` and `ST` are parallel or perpendicular, what we need is ti find their slopes.

If slopes are equal , lines are parallel and if product of slopes is `-1`, they are perpendicular .

The slope of a line joining points `(x_1,y_1)` and `x_2,y_2)` is `(y_2-y_1)/(x_2-x_1)`.

Hence slope of `QR` is `(10-8)/(3-2)=2/1=2`

and slope of `ST` is `(2-6)/(-2-0)=(-4)/(-2)=2`

As the slopes are equal, lines are parallel.
graph{(y-2x-4)(y-2x-6)=0 [-9.66, 10.34, -0.64, 9.36]}