Respuesta :

Answer:

[tex]m = \frac{-2}{3}[/tex]

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;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where

[tex](x_1,y_1) = (1,-1)[/tex]

[tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in the given formula

[tex]m = \frac{-1 - 3}{1 - (-5)}[/tex]

[tex]m = \frac{-1 - 3}{1 +5}[/tex]

[tex]m = \frac{-4}{6}[/tex]

Simplify fraction

[tex]m = \frac{-2}{3}[/tex]

Hence, the slope of the line is [tex]m = \frac{-2}{3}[/tex]

Answer:

The answer is 1/3

Explanation:

Change in y/Change in x

-2/-6=1/3