Question

Prove that the line that passes through (8, -1) and (4, -3) is parallel to the line that passes through (-6, -1) and (2, 3).

Answer 1

Both lines have the same slope.

Explanation:

- If two lines are parallel, they have the same slope. To prove that these, lines are parallel, we have to first find out the slope between points.

• Line 1 :

y2 - y1 / x2 - x1

-3 - (-1) / 4 - 8

-2/-4

= 1/2

• Line 2 :

y2 - y1 / x2 - x1

3 - (-1) /2 - (-6)

4/8

= 1/2

Both the lines have the same slope meaning they are parallel.