Question

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)

Answer 1

Answer: The correct options are 1 and 2.

Step-by-step 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=(y_2-y_1)/(x_2-x_1)`

Slope of PQ,

`m_1=(12-6)/(4-5)= (6)/(-1)=-6`

Slope of TU,

`m_2=(18-6)/(6-8)= (12)/(-2)=-6`

Slope of RS,

`m_3=(2-3)/(7-1)= (-1)/(6)`

Slope of WX,

`m_3=(0-6)/(4-5)= (-6)/(-1)=6`

Therefore, the correct options are 1 and 2.