Answer: [tex]y-6=-\frac{1}{2} (x+1)\\[/tex]
Step-by-step explanation:
The formula for point-slope form is y-y₁=m(x-x₁).
Since we already have (x₁,y₁), all we need to do is find the slope with [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-6}{1-(-1)} =\frac{-1}{2} =-\frac{1}{2}[/tex]
Now we can plug it into our equation.
[tex]y-6=-\frac{1}{2} (x-(-1))\\[/tex]
[tex]y-6=-\frac{1}{2} (x+1)\\[/tex]
