Question

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

Answer 1

slope=-4

Explanation

Step 1

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

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

Let

P1(-4,11)

P2(1,-9)

Step 2

replace in the formula

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

I hope this helps you.