Q. 89 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window. 

$y=2x-13$

Step-by-Step Solution

Answer

The x-intercept is $6.5$.

The y-intercepts is $-13$

The required graph is 

Step 1. Given Information.

Given function is $y=2x-13$.

Create the table for values of x and y.

Step 3. Plot the points and connect them.

Step 4. Finding x intercept.

Put $y=0$

$$\begin{gathered} y=2x-13 \\ 0=2x-13 \\ 2x=13 \\ x=\frac{13}{2} \end{gathered}$$

Step 5. Finding y intercept.

Put $x=0$

$$\begin{gathered} y=2x-13 \\ y=2·0-13 \\ y=-13 \end{gathered}$$