Question

Find the slope of the line that passes through (2,6) and (-7,8)

Answer 1

$\text{slope}=-\frac{2}{9}$

Explanation

Step 1

when you have two points of a line, P1, and P2, you can find the slope using:

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

Let

P1(2,6)

P2(-7,8)

Step 2

replace

$\begin{gathered} \text{slope}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{8-6}{-7-2}=\frac{2}{-9}=-\frac{2}{9} \end{gathered}$

I hope this helps you