Question

The slope of MN is −3. Which segments are parallel to MN ? Select each correct answer.

Answer 1

Answer:

Option C and D is correct

Step-by-step explanation:

We need to find the slopes of the given segments.

The lines are parallel if there slopes are equal.

A) = RS, where R is at (1, 3) and S is at (4, 2)

$Slope\,\,of\,\,RS =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\Slope\,\,of\,\,RS=\frac{2-3}{4-1}\\Slope\,\,of\,\,RS=\frac{-1}{3}$

Option A is incorrect because Slope of MN = -3 while slope of RS = -1/3

B)= PQ, where P is at (5, 6) and Q is at (8, 7)

$Slope\,\,of\,\,PQ =\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,PQ=\frac{7-6}{8-5}\\Slope\,\,of\,\,PQ=\frac{1}{3}$

Option B is incorrect because Slope of MN = -3 while slope of PQ = 1/3

C)= TU, where T is at (8, 1) and U is at (5, 10)

$Slope\,\,of\,\,TU=\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,TU\,\,=\frac{10-1}{5-8}\\Slope\,\,of\,\,TU\,\,=\frac{9}{-3} \\Slope\,\,of\,\,TU=-3$

Option C is correct because Slope of MN = -3 while slope of TU = -3

D)= WX, where W is at (2, 6) and X is at (4, 0)

$Slope\,\,of\,\,WX\, =\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,WX\,=\frac{0-6}{4-2}\\Slope\,\,of\,\,WX\,=\frac{-6}{2} \\Slope\,\,of\,\,WX\,=-3$

Option D is correct because Slope of MN = -3 while slope of WX = -3