Respuesta :

Answer:

The slope is [tex]m=-\frac{7}{5}[/tex]

Step-by-step explanation:

The slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula;

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

The given line contains;the points (2, -6) and (-3, 1).

[tex]m=\frac{1--6}{-3-2}[/tex]

[tex]m=\frac{1+6}{-3-2}[/tex]

[tex]m=\frac{7}{-5}[/tex]

The slope is [tex]m=-\frac{7}{5}[/tex]

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

We have to:

[tex](x1, y1) = (2, -6)\\(x2, y2) = (- 3,1)[/tex]

Substituting in the given expression we have:

[tex]m = \frac {1 - (- 6)} {- 3-2}\\m = \frac {1 + 6} {- 3-2}\\m = \frac {7} {- 5}\\m = - \frac {7} {5}[/tex]

Answer:

[tex]m = - \frac {7} {5}[/tex]