Question

What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?

Answer 1

Given:

The line passes through the points (8,-4) and (6,2).

To find:

The slope of the line.

Solution:

If a line passes though two points $(x_1,y_1)\text{ and }(x_2,y_2)$, then the slope of the line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

The line passes through the points (8,-4) and (6,2). So, its slope is

$m=\dfrac{2-(-4)}{6-8}$

$m=\dfrac{2+4}{-2}$

$m=\dfrac{6}{-2}$

$m=-3$

Therefore, the slope of the line is -3.