Question

Line WV is perpendicular to both line RS and line TU.

On a coordinate plane, 3 lines are shown. Line V W goes through (negative 1, 5) and (1, 5). Line R S goes through (negative 5, 3) and (5, 1). Line T U goes through (negative 1, negative 2) and (4, negative 3).

Which statement must be true about line TU?

Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5

Answer 1

Answer:

Line TU is parallel to line RS

Step-by-step explanation:

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Answer 2

Line TU is parallel to line RS and has a slope of -1/5

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept.

Line V W goes through (-1, 5) and (1, 5). Line R S goes through (-5, 3) and (5, 1). Line T U goes through (-1,-2) and (4, -3).

Slope of VW = (5 - 5)/(1- (-1)) = 0

Slope of RS = (1 - 3) / (5 -(-5)) = -1/5

Slope of TU = (-3 - (-2))/(4 - (-1)) = -1/5

Line TU is parallel to line RS and has a slope of -1/5

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