Question

Line m passes through (-5,0) and (-3,2)

Line n passes through (-2,2) and (0,4). Are the two lines are
parallel? Justify your answer.

Answer 1

Yes, they are parallel

Explanation:

Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)

Find the slope of line M:

(y2 - y1) / (x2 - x1)

(2 - 0) / (-3 + 5)

2/2

= 1

Find the slope of line N:

(y2 - y1) / (x2 - x1)

(4 - 2) / (0 + 2)

2/2

= 1

So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.

They are parallel.