Question

For Items 5-7, determine the slope of the line that passes through each pair of points.

Answer 1

slope=-4

Step-by-step explanation

Step 1

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

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

Let

P1(-4,11)

P2(1,-9)

Step 2

replace in the formula

`\begin{gathered} \text{slope}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(-9-11)/(1-(-4))=(-20)/(1+4)=(-20)/(5)=-4 \\ \text{slope}=-4 \end{gathered}`

I hope this helps you.