Q. 3.7 - Intermediate Algebra

Question

Graph the equation $y=\frac{1}{3}x-1$by plotting points.

Step-by-Step Solution

Answer

The required graph is 

Step 1. Given Information

The given equation is $y=\frac{1}{3}x-1$

Step 2. Calculation

Consider any random values $x=3,6$ and substitute the coordinate in the given equation to find the value of coordinate $y$.

$$\begin{gathered} y=\frac{1}{3}\left(3\right)-1 \\ y=1-1 \\ y=0 \\ And \\ y=\frac{1}{3}\left(6\right)-1 \\ y=2-1 \\ y=1 \end{gathered}$$

Thus, we have the required points as 

$A(3,0),B(6,1)$

Step 3. Graph

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