Question

Line m passes through point (2,-7) and (4,-9). Line m is parallel to which line?

Answer 1

As the slope is -1, so any line that has the same slope is parallel.

Solution:

Given points (2, -7) and (4, -9) find the slope, m:

$m = \frac{y - y_1}{x - x_1}$

$\Rightarrow m = \frac{-7 - (-9)}{2 - 4}$

$m = \frac{-7 + 9}{-2}$

$m = \frac{2}{-2}=-1$

Any line that has the same slope is parallel.