Question

Are the pairs of lines parallel, perpendicular, or intersecting?(3 points)
y−6=14(x+2)


y=−4x−10


2x−y=7


3x−4y=−8


y=−23x+7


−2x−3y=12


Skip to navigation

Answer 1

Pair 1
y − 6 = 14(x + 2) → y = 14x + 34 (slope 14)
y = −4x − 10 (slope −4)
Slopes are not equal and 14(−4) ≠ −1 → intersecting.

Pair 2
2x − y = 7 → y = 2x − 7 (slope 2)
3x − 4y = −8 → y = (3/4)x + 2 (slope 3/4)
Slopes are not equal and 2·(3/4) ≠ −1 → intersecting.

Pair 3
y = −23x + 7 (slope −23)
−2x − 3y = 12 → y = −(2/3)x − 4 (slope −2/3)
Slopes are not equal and (−23)(−2/3) ≠ −1 → intersecting.