Answer:
The equation of the line will be:
[tex]y=-\frac{1}{2}x-6[/tex]
Step-by-step explanation:
Given
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -1/2 and the point (4,-8)
[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]
[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]
subtract 8 from both sides
[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]
[tex]y=-\frac{1}{2}x-6[/tex]
Therefore, the equation of the line will be:
[tex]y=-\frac{1}{2}x-6[/tex]
