Respuesta :

Use the slope formula to find the slope of a line that goes through two points:

[tex]\begin{gathered} \text{Coordinates of two points}\rightarrow\text{ }(x_1,y_1),(x_2,y_2) \\ \text{Slope of a line through those points}\rightarrow m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]

Substitute the coordinates (6,-10) and (3,-13) into the slope formula:

[tex]\begin{gathered} m=\frac{(-13)-(-10)}{(3)-(6)} \\ =\frac{-13+10}{3-6} \\ =\frac{-3}{-3} \\ =1 \end{gathered}[/tex]

Therefore, the slope of a line that passes through those points, is 1.