Answer:
(y+5)=\frac{1}{2}(x-4) in point slope form
Step-by-step explanation:
The point slope form of a line is [tex](y-y_1)=m(x-x_1)[/tex] where [tex]x_1=4\\y_1=-5[/tex]. We write
[tex](y--5)=m(x-4)\\(y+5)=m(x-4)[/tex]
We know m the slope is [tex]\frac{1}{2}[/tex] and we substitute.
[tex](y+5)=\frac{1}{2}(x-4)[/tex]