Answer:
[tex]y=\frac{-3}{2}x+\frac{5}{2}[/tex]
Step-by-step explanation:
We are given that an equation
[tex]3x+2y=5[/tex]
We have to find the slope intercept form of given equation.
We know that slope intercept form of an equation is given by
[tex]y=mx+c[/tex]
[tex]3x+2y=5[/tex]
[tex]2y=5-3x[/tex]
[tex]2y=-3x+5[/tex]
[tex]y=\frac{-3}{2}x+\frac{5}{2}[/tex]
Hence, the slope intercept form of given equation is given by
[tex]y=\frac{-3}{2}x+\frac{5}{2}[/tex]