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]