Respuesta :

Answer:

[tex]m\text{ = }\frac{6}{7}[/tex]

Explanation:

Here, we want to get the slope of the line that passes through the given points

We use the slope formula below:

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

Given:

[tex]\begin{gathered} x_1=\text{ 12} \\ y_1\text{ = -3} \\ x_2=\text{ 5} \\ y_2=\text{ -9} \end{gathered}[/tex]

Substituting these values, we have it that:

[tex]m\text{ = }\frac{-9-(-3)}{5-12}\text{ = }\frac{-6}{-7}\text{ = }\frac{6}{7}[/tex]