Question

What is the slope of the line that passes through (3, −7) and (−1, 1)? (1 point)

Answer 1

Answer:

The slope of the line is -2

Step-by-step explanation:

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$  , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us find the slope using the rule above

∵ The line passes through points (3, -7) and (-1 , 1)

∴ $x_{1}$ = 3 and  $x_{2}$ = -1

∴ $y_{1}$ = -7 and  $y_{2}$ = 1

Substitute these values in the rule above to find m

∴ $m=\frac{1--7}{-1-3}=\frac{1+7}{-4}=\frac{8}{-4}=-2$

∴ The slope of the line that passes through the given points is -2