Question

Graph each equation rewrite in slope-intercept form first if necessary.Y=-1/3x+4

Answer 1

To graph the linear equation, follow the steps below.

Step 01: Find one point of the line.

To do it, choose a x-value and find its corresponding y-value.

Let's choose x = 0.

Substituting x in the equation to find y:

$\begin{gathered} y=-\frac{1}{3}x+4 \\ y=-\frac{1}{3}*0+4 \\ y=0+4 \\ y=4 \end{gathered}$

First point: (0, 4).

Step 02: Find another point of the line.

Let's choose x = 3.

Substituting x in the equation to find y:

$\begin{gathered} y=-\frac{1}{3}*3+4 \\ y=-\frac{1}{3}*3+4 \\ y=-\frac{3}{3}+4 \\ y=-1+4 \\ y=3 \end{gathered}$

Second point: (3, 3).

Step 03: Plot the two points and connect them to draw the graph.

The graph is shown below: