To find the answers, we have to solve for y.
[tex]\begin{gathered} y-3=-\frac{5}{2}(x+1) \\ y-3=-\frac{5}{2}x-\frac{5}{2} \\ y=-\frac{5}{2}x-\frac{5}{2}+3 \\ y=-\frac{5}{2}x+\frac{-5+6}{2} \\ y=-\frac{5}{2}x+\frac{1}{2} \end{gathered}[/tex]
The slope is the coefficient of x, and the y-intercept point is the independent term.
Hence, the slope is -5/2, and the y-intercept is (0, 1/2).
The graph below shows the line
