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The slope of MN is -6, which segments are parallel to MN, select each correct answer


1. PQ, where P is at (5,6) and Q is at (4,12)


2. TU, where T is at (8,6) and U is at (6,18)


3. RS, where R is at (1,3) and S is at (7,2)


4. WX, where W is at (5,6) and X is at (4,0)

Respuesta :

Answer: The correct options are 1 and 2.

Explanation:

It is given that the slope of line MN is -6.

The slope of parallel lines are always equal. Therefore the line which have slope -6 is parallel to MN.

The formula to find the slope is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of PQ,

[tex]m_1=\frac{12-6}{4-5}= \frac{6}{-1}=-6[/tex]

Slope of TU,

[tex]m_2=\frac{18-6}{6-8}= \frac{12}{-2}=-6[/tex]

Slope of RS,

[tex]m_3=\frac{2-3}{7-1}= \frac{-1}{6}[/tex]

Slope of WX,

[tex]m_3=\frac{0-6}{4-5}= \frac{-6}{-1}=6[/tex]

Therefore, the correct options are 1 and 2.

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