Answer:
[tex]y=-\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Equation of Straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Here
[tex]m=-\frac{1}{2} \ and \ (x_1, y_1)=(4, -5)[/tex]
Therefore Equation of Straight line having slope -1/2 and passing through point (4, -5) is given as
[tex]y+5=-\frac{1}{2} (x-4)[/tex]
[tex]y=-\frac{1}{2}x-3[/tex]