Answer:
[tex]y=\frac{x}{2}+\frac{3}{2}[/tex]
Step-by-step explanation:
To find inverse of an equation, replace the variables x with y and y with x:
x = 2y - 3
Now we get it in slope-intercept form:
x = 2y - 3
Add 3 to both sides.
x + 3 = 2y
Divide both sides by 2.
[tex]\frac{x}{2}+\frac{3}{2}=y[/tex]
Swap left and right sides.
[tex]y=\frac{x}{2}+\frac{3}{2}[/tex]
And this is the inverse of the equation y = 2x - 3.
I hope you find my answer helpful.
