The linear equation in slope-intercept form is written as:
y = (-3/2)x
How to write the linear equation?
Remember that the slope-intercept form of a linear equation is:
y = a*X + b
First let's find the value of b, we to find it, just check at which value of y does the graph intercept the y-axis.
Here we can see that it happens at y = 0.
y = a*x + 0
y = a*x
Now to find the value of a, we need to find a point in the line. We can see that it passes through (-2, 3), then:
3 = a*-2
Solving for a:
3/-2 = a
-3/2 = a
The linear equation is:
y = (-3/2)x