Shown in the diagram
Explanation:
We have the following equation:
[tex]2y=3x[/tex]
But we can write the equation of this line in Slope-Intercept form:
[tex]Dividing \ both \ sides \ of \ the \ equation \ by \ 2: \\ \\ \frac{2y}{2}=\frac{3x}{2} \\ \\ y=\frac{3}{2}x[/tex]
Recall that the Slope-Intercept form of the equation of a line is given by:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
In this problem:
[tex]b=0[/tex]
So the line passes through the origin with a slope of [tex]m=\frac{3}{2}[/tex]
By using two point we can graph this line:
[tex]First \ point: \\ \\ (0,0) \\ \\ \\ Second \ point: \\ \\ If \ x=1: \\ \\ y=\frac{3}{2}(1) \therefore y=\frac{3}{2} \\ \\ Point \ 2: \ (1,\frac{3}{2})[/tex]
Finally, by using graphing tools the graph is shown below.
Learn more:
Solving equations: https://brainly.com/question/13772036#
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