Answer:
[tex]y=\frac{1}{2}x+5[/tex]
Step-by-step explanation:
We are given the points (6,8) and (-2,4).
Find the slope:
[tex]m=\frac{4-8}{-2-6}=\frac{-4}{-8}=\boxed{\frac{1}{2}}[/tex]
Using a point and the slope, create a point-slope form equation and convert it into slope-intercept.
[tex]y-8=\frac{1}{2}(x-6)\\\\y-8= \frac{1}{2}x-3\\\\y-8+8=\frac{1}{2}x-3+8\\\\\boxed{y=\frac{1}{2}x+5}[/tex]
Hope this helps!
