Q. 18 - 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. 

 $(-1,1);(2,3)$

Step-by-Step Solution

Answer

The slope of the line is $\frac{2}{3}$ and the graph is

Step 1. Given Information

The given points are $(-1,1);(2,3)$

Step 2. Calculation

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

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

Step 3. Graph

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