PaolaMarie1304
PaolaMarie1304 PaolaMarie1304
  • 22-10-2020
  • Mathematics
contestada

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.

Respuesta :

rococo908
rococo908 rococo908
  • 22-10-2020

Answer:

Yes, they are parallel

Step-by-step 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.

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