Answer: [tex]y-4=-\frac{1}{2} (x-6)[/tex]
Step-by-step explanation:
The point-slope form is y-y₁=m(x-x₁). y₁ and x₁ are from a point, and m is slope.
To find slope, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{4-9}{6-(-4)}=\frac{-5}{10}=-\frac{1}{2}[/tex]
Now that we have the slope, we can fill in our point-slope form equation.
[tex]y-4=-\frac{1}{2} (x-6)[/tex]
