# How do you write an equation in slope intercept form given that the line contains the point (-3,0) and is parallel to the line defined by -5x=6y?

$y = - \frac{5}{6} x$ which has slope $m = - \frac{5}{6}$.
$y - {y}_{0} = m \left(x - {x}_{0}\right)$
$y - 0 = - \frac{5}{6} \left(x + 3\right)$
$\textcolor{red}{y = - \frac{5}{6} x - \frac{5}{2}}$