# How do you write an equation of a line that goes through (5, -8) with m=1/2?

$y - {y}_{p} = m \left(x - {x}_{p}\right)$,
$y + 8 = \frac{1}{2} \left(x - 5\right) \Rightarrow y = \frac{1}{2} x - \frac{5}{2} - 8 \Rightarrow$
$y = \frac{1}{2} x - \frac{21}{2}$.