Respuesta :

Answer: [tex]m=-\frac{8}{7}[/tex]

Step-by-step explanation:

To calculate  the slope of the line that has the coordinates given in the problem you must use the formula shown below:

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

Given the points (-3, 6) (4,-2), when you substitute them into the eequation shown above, you obtain that the slope is the following:

[tex]m=\frac{-2-6}{4-(-3)}\\m=-\frac{8}{7}[/tex]

Answer:

[tex] - \frac { 8 } { 7 } [/tex]

Step-by-step explanation:

We are given the following two points on a line and we are to find the slope of this line:

(-3, 6) and (4,-2)

We know the formula of the slope is given by:

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

Substituting the given coordinates in the above formula to get:

Slope = [tex] \frac { - 2 - 6 } { 4 - - 3 } = - \frac { 8 } { 7 } [/tex]