Question

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

Answer 1

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,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of PQ,

$m_1=\frac{12-6}{4-5}= \frac{6}{-1}=-6$

Slope of TU,

$m_2=\frac{18-6}{6-8}= \frac{12}{-2}=-6$

Slope of RS,

$m_3=\frac{2-3}{7-1}= \frac{-1}{6}$

Slope of WX,

$m_3=\frac{0-6}{4-5}= \frac{-6}{-1}=6$

Therefore, the correct options are 1 and 2.