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Given a pair of points on each line, use the slope formula to determine whether AB and CD are parallel, perpendicular, or neither. GH: G(14, 13) and H(-11, 0) RS: R(-3, 7) and S(-4,-5)



Answer :

varshamittal029

GH is neither perpendicular nor parallel to RS.

Points are:

G (14, 13) and H (-11, 0)

R (-3, 7) and S (-4, -5)

Slope formula is:

m = (y₂ - y₁) / (x₂ - x₁)

Now, for the slope between point G and point H that is the slope of GH:

m = (0 - 13) / (-11 - 14)

m = - 13 / (- 25)

m = 13 / 25

Now, for the slope between point R and point S, that is the slope of RS:

m' = (-5 - 7) / (-4 + 3)

m' = - 12 / - 1

m' = 12

m × m' = 13/25 × 12 ≠ - 1

GH is not perpendicular to RS

Also m ≠ m'

GH is not parallel to RS.

Therefore, GH is neither perpendicular nor parallel to RS.

Learn more about perpendicular lines here:

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