The linear equation that represents the graph is 3/2x - 3 = y
Data;
From the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.
If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.
[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]
Kindly find the attached image of the graph.
Learn more on linear equation here;
https://brainly.com/question/14323743