Q4. - Algebra 2

Question

Chose the correct term to complete the sentence.

Two line in the same plane having the same slope are parallel or perpendicular.

Step-by-Step Solution

Answer

The correct statement to complete the sentence is parallel.

Step-1 – Apply the concept of Parallel line

Slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope and lines with the same slope are parallel. 

Step-2 – Apply the concept of Perpendicular line

Horizontal and vertical lines are always perpendicular.

therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular.

Step-3– Chose the correct statement to complete the sentence

From two function it’s clear that the sentence which make sense is the Absolute value 

Since, the definition state that

Parallel lines have the same slope and lines with the same slope are parallel.

Therefore, the correct statement to complete the sentence is parallel.