Respuesta :

Hello!

To find the slope of line, we will need to use the slope formula.

The slope formula is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].

Before the use the formula, we should assign the ordered pairs to [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex].

(3, -6) can be assigned to [tex](x_{1}, y_{1})[/tex] and (9, 2) is assigned to [tex](x_{2}, y_{2})[/tex]. With that, we can substitute those values into the formula.

[tex]\frac{2-(-6)}{9-3}= \frac{8}{6} = \frac{4}{3}[/tex]

Therefore, the slope of the line is 4/3.