Question

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

Answer 1

`-(1)/(3)`

Step-by-step explanation

the slope of a line is given by:

`\begin{gathered} \text{slope}=\frac{\text{ change in y}}{\text{change in x}}=(\Delta y)/(\Delta x)=(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}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(4-12)/(6-(-18))=(-8)/(24)=-(1)/(3) \\ \text{slope}=-(1)/(3) \end{gathered}`

therefore, the slope is

`-(1)/(3)`

I hope this helps you