Question

Find the slope of the line through each pair of points. (-18,12) (6,4)

Answer 1

$-\frac{1}{3}$

Explanation

the slope of a line is given by:

$\begin{gathered} \text{slope}=\frac{\text{ change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}$

so

Step 1

let

P1(-18,12)

P2(6,4)

now, replace in the formula

$\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{4-12}{6-(-18)}=\frac{-8}{24}=-\frac{1}{3} \\ \text{slope}=-\frac{1}{3} \end{gathered}$

therefore, the slope is

$-\frac{1}{3}$

I hope this helps you