Question

Find the slope for the line with points (1,-9) and (4,15)

Answer 1

slope=8

Step-by-step explanation

Step 1

if you have two points of a line P1 and P2, the slope is given by:

`\begin{gathered} \text{slope=}(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_(1,)y_1)andP2(x_(2,)y_2)_{} \end{gathered}`

let

P1(1,-9)

P2(4,15)

Step 2

replace

`\begin{gathered} \text{slope=}(y_2-y_1)/(x_2-x_1) \\ \text{slope=}(15-(-9))/(4-1) \\ \text{slope}=(15+9)/(3) \\ \text{slope=}(24)/(3) \\ \text{slope}=8 \end{gathered}`