Q. 17 - Precalculus Enhanced with Graphing Utilities

Question

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand. 

$(-2,3);(2,1)$

Step-by-Step Solution

Answer

The slope of the line is $-\frac{1}{2}$ and the graph is

Step 1. Given Information

The given points are $(-2,3);(2,1)$

Step 2. Calculation

Use the slope formula to find the slope of the line between the given points.

$$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{1-3}{2-(-2)} \\ =\frac{-2}{4} \\ =-\frac{1}{2} \end{gathered}$$

Step 3. Graph

The line is graphed by drawing a line passing through the points.