Question

Find the slope of the line that contains the points (3, -6) and (9, 2).

Answer 1

Hello!

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

The slope formula is: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$.

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

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

$\frac{2-(-6)}{9-3}= \frac{8}{6} = \frac{4}{3}$

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