Question

Find the slope of the line through the point (2,2) and (-4,2) and then graph

Answer 1

Given:

points (2,2) and (-4,2)

Recall the formula for determining the slope of a line given two points

`\begin{gathered} m=(y_2 - y_1)/(x_2 - x_1) \\ \text{where} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points in the line} \end{gathered}`

Given the point (2,2) and (-4,2), the slope of the line is

`\begin{gathered} (x_1,y_1)=(2,2) \\ (x_2,y_2)=(-4,2) \\ \\ m=(y_2 - y_1)/(x_2 - x_1) \\ m=(2 - 2)/(-4 - 2) \\ m=(0)/(-6) \\ m=0 \end{gathered}`

The slope of the line is zero.

Graphing the two point, connect the two points (2,2) and (-4,2), then draw a solid line connecting the two points and we get