Answer
y+2=-1(x+$\frac{1}{2}$)
y=-x-$\frac{5}{2}$
Work Step by Step
y-y$_1$=m(x-x$_1$)
y-(-2)=-1(x-(-$\frac{1}{2}$))
y+2=-1(x+$\frac{1}{2}$)
This is point-slope form. Now, isolate y to find slope-intercept form.
y+2=-1(x)-1($\frac{1}{2}$)
y+2=-x-$\frac{1}{2}$
y+2-2=-x-$\frac{1}{2}$-2
y=-x-$\frac{1}{2}$-$\frac{4}{2}$
y=-x-$\frac{5}{2}$
This is slope-intercept form.