Q. 86 - Precalculus Enhanced with Graphing Utilities

Question

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$5x+2y=10$

Step-by-Step Solution

Answer

The required graph is 

Step 1. Given information.

Graph each equation by hand by plotting points. Verify your results using a graphing utility.

$5x+2y=10$

Step 2. Create table of values.

We will rewrite the given equation to solve for y: 

$$\begin{gathered} 5x+2y=10 \\ \frac{5}{2}x+\frac{2}{2}y=\frac{10}{2} \\ y=-\frac{5}{2}x+5 \end{gathered}$$

Start by creating a table of values, we will then use it to plot the points on the graph. select values of x and use the given equation to find the corresponding values of y. 

Step 3. Create the graph.

Plot the points from the table above and connect them with a smooth curve.

Step 4. Conclusion.

The required graph is