Answer:
Option D [tex]y=\frac{1}{2}x+6[/tex]
Step-by-step explanation:
we know that
The equation of a line into slope point form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex](x1,y1)=(-2,5)[/tex]
[tex]m=\frac{1}{2}[/tex]
substitute
[tex]y-5=\frac{1}{2}(x+2)[/tex]
Convert to slope intercept form
[tex]y=\frac{1}{2}x+1+5[/tex]
[tex]y=\frac{1}{2}x+6[/tex]