Given R(2,1), S(2,3), T(6,3), U(6,4), V(8,4) Compare the slope of segment RT―andTV―

Segment RT: RS―ST―=|R−SS−T|=|2−2+1−32−6+3−3|=|−2−4|=12 Segment TV: TU―UV―=|T−UU−V|=|6−6+3−46−8+4−4|=|−1−2|=12 Since RS―ST―=12andTU―UV―=12, the answer is: The slope segment of segment RT is equal to the slope segment of TV.

Explained: "Given R(2,1), S(2,3), T(6,3), U(6,4), V(8,4) Compare the..."

Secondary
Algebra
Algebra I
Linear equations and graphs

Ava-May Nelson

Answered question

2021-08-13

Given R(2,1), S(2,3), T(6,3), U(6,4), V(8,4) Compare the slope of segment

\overset{―}{R T} and \overset{―}{T V}

Answer & Explanation

tabuordy

Skilled2021-08-14Added 90 answers

Segment RT:

\frac{\overset{―}{R S}}{\overset{―}{S T}} = | \frac{R - S}{S - T} | = | \frac{2 - 2 + 1 - 3}{2 - 6 + 3 - 3} | = | \frac{- 2}{- 4} | = \frac{1}{2}

Segment TV:

\frac{\overset{―}{T U}}{\overset{―}{U V}} = | \frac{T - U}{U - V} | = | \frac{6 - 6 + 3 - 4}{6 - 8 + 4 - 4} | = | \frac{- 1}{- 2} | = \frac{1}{2}

Since

\frac{\overset{―}{R S}}{\overset{―}{S T}} = \frac{1}{2} and \frac{\overset{―}{T U}}{\overset{―}{U V}} = \frac{1}{2}

, the answer is:
The slope segment of segment RT is equal to the slope segment of TV.

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