Question

Graph the equation $y=\frac{x}{4}+2$by plotting points.

Short answer

The required graph is

Step-by-step solution

Step 1. Given Information

The given equation is$y=\frac{x}{4}+2$

Step 2. Calculation

Consider any random values $x=4,8$and substitute the coordinate in the given equation to find the value of coordinate $y$.

$$\begin{gathered} y=\frac{x}{4}+2 \\ y=\frac{4}{4}+2 \\ y=1+2 \\ y=3 \\ And \\ y=\frac{x}{4}+2 \\ y=\frac{8}{4}+2 \\ y=2+2 \\ y=4 \end{gathered}$$

Thus, the required points are$A(4,3),B(8,4)$

Step 3. Graph

Plotting the obtained points in the rectangular system using desmos calculator, we get the required graph