Question

Find the slope of the line containing the two points (1,-1) and 7-5,-3). (1 point)

Answer 1

Answer:

$m = \frac{-2}{3}$

Explanation:

Given

Points: (1,-1) and (-5,3)

Required

Determine the slope

The slope of a line is represented by m and is calculated as thus;

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

Where

$(x_1,y_1) = (1,-1)$

$(x_2,y_2) = (-5,3)$

Substitute these values in the given formula

$m = \frac{-1 - 3}{1 - (-5)}$

$m = \frac{-1 - 3}{1 +5}$

$m = \frac{-4}{6}$

Simplify fraction

$m = \frac{-2}{3}$

Hence, the slope of the line is $m = \frac{-2}{3}$