Q. 93 - 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.

$3x-2y=43$

Step-by-Step Solution

Answer

The $x$ intercept is $\left(14.33,0\right)$ and $y$ intercept is $\left(0,-21.5\right)$.

Step 1. Given Information

$3x-2y=43$

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

Step 3. Plot these points and connect them

Step 4. Finding x intercept

Put $y=0$

$$\begin{gathered} 3x-2y=43 \\ 3x=43 \\ x=14.33 \end{gathered}$$

Step 5. Finding y intercept

Put $x=0$

$$\begin{gathered} 3x-2y=43 \\ -2y=43 \\ y=-21.5 \end{gathered}$$