Q. 94 - 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.

$4x+5y=82$

Step-by-Step Solution

Answer

The $x$ intercept is $\left(20.5,0\right)$ and $y$ intercept is $\left(0,16.4\right)$

Step 1. Given Information

The function is $4x+5y=82$

Step 2. Create table for the values of x , y

Step 3. Plot these points and connect them

Step 4. Finding x intercept

Put $y=0$

$$\begin{gathered} 4x+5y=82 \\ 4x=82 \\ x=20.5 \end{gathered}$$

Step 5. Finding y intercept

Put $x=0$

$$\begin{gathered} 4x+5y=82 \\ 5y=82 \\ y=16.4 \end{gathered}$$