Q33. - Algebra 1

Question

Graph each equation.

$y=\frac{4}{3}x$

Step-by-Step Solution

Answer

The graph of the equation $y=\frac{4}{3}x$ is:

Step 1. Find the two points that satisfies the equation y = 4 3 x .

Substitute 0 for x and find the value of y.

$$\begin{gathered} y=\frac{4}{3}x \\ =\frac{4}{3}\left(0\right) \\ =0 \end{gathered}$$ 

Therefore, one of the point that satisfies the equation $y=\frac{4}{3}x$ is $\left(0,0\right)$

 

Substitute 3 for x and find the value of y.

$$\begin{gathered} y=\frac{4}{3}x \\ =\frac{4}{3}\left(3\right) \\ =4 \end{gathered}$$ 

 

Therefore, the other point that satisfies the equation $y=\frac{4}{3}x$ is $\left(3,4\right)$

Step 2. Draw the graph of the equation y = 4 3 x .

Draw the graph of the equation $y=\frac{4}{3}x$ by using the information that the graph of the equation $y=\frac{4}{3}x$ is a line passing through the points $\left(0,0\right)$ and $\left(3,4\right)$.

 

Therefore, the graph of the equation $y=\frac{4}{3}x$ is: