Respuesta :

The slope of the graphed is [tex]\frac{8}{5}[/tex].

Solution:

Two points represented in the line are (2, 4) and (–3, –4).

Here, [tex]x_1=2, y_1=4,x_2=-3,y_2=-4[/tex]

To find the slope of the line:

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

Substitute the given points in the formula.

[tex]$m=\frac{-4-4}{-3-2}[/tex]

[tex]$m=\frac{-8}{-5}[/tex]

[tex]$m=\frac{8}{5}[/tex]

Slope of the line [tex]\frac{8}{5}[/tex].

Hence the slope of the graphed is [tex]\frac{8}{5}[/tex].