ANSWER:
[tex]y=-\frac{1}{2}x+\frac{1}{2}[/tex]STEP-BY-STEP EXPLANATION:
The equation of the line is given as follows in slope-intercept form:
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]We can calculate the value of b with the data given in the statement, like this:
[tex]\begin{gathered} 2=-\frac{1}{2}\cdot-3+b \\ b=2-\frac{3}{2} \\ b=\frac{1}{2} \end{gathered}[/tex]The equation would be:
[tex]y=-\frac{1}{2}x+\frac{1}{2}[/tex]