# How do you write the equation of a line in point slope form that is parallel to y= 1/2x+8 and goes through (2,-7)?

The given equation $y = \frac{1}{2} x + 8$ is in slope-intercept form with a slope of $m = \frac{1}{2}$ and a y-intercept of $8$
A line parallel to this will have the same slope ($m = \frac{1}{2}$)
The point-slope form for a line with slope $m$ through the point $\left({x}_{1} , {y}_{1}\right)$ is
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
$y + 7 = \frac{1}{2} \left(x - 2\right)$