Q. 90 - 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. 

$y=-3x+14$

Step-by-Step Solution

Answer

The x-intercept is 6.67.

The y-intercepts is 14.

The required graph is 

Step 1. Given Information.

Given function is $y=-3x+14$.

Create the table for values of x and y.

Step 3. Plot the points and connect them.

Step 4. Finding x intercept.

Put $y=0$

$$\begin{gathered} y=-3x+14 \\ 0=-3x+14 \\ 3x=14 \\ x=\frac{14}{3} \\ x=4.67 \end{gathered}$$

Step 5. Finding y-intercept.

Put $x=0$

$$\begin{gathered} y=-3x+14 \\ y=-3·0+14 \\ y=14 \end{gathered}$$