What is the equation in y=mx+b form that represents the function in the graph?

In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
point 1 (0 , 0 ) x1 = 0 y1 = 0
point 2 (2 , -3) x2 = 2 y2 = -3
equation of the line = ?
Step 02:
Slope formula
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{-3-0}{2-0}=\frac{-3}{2}[/tex]Slope-intercept form of the line
y = mx + b
b = y-intercept = 0
m = - 3/2
y = -3/2 x + 0
y = -3/2 x
The answer is:
y = -3/2 x