Answer:
\(y=\frac{1}{2}x+6\)
Step-by-step explanation:
we know that
the equation of the line into point slope form is equal to
\(y-y1=m(x-x1)\)
In this problem we have
\(y-8=\frac{1}{2}(x-4)\)
The linear function represent a line that
the slope is equal to \(m=\frac{1}{2}\)
and passes through the point \((4,8)\)
Simplify
\(y=\frac{1}{2}x-2+8\)
\(y=\frac{1}{2}x+6\) ------> equation of the line in slope-intercept form
