# How do you write an equation in point slope form given slope -1/4, (7, -5)?

color(black)(y+5=-1/4(x-7)
The general slope-point form for a line with slope $\textcolor{g r e e n}{m}$ through a point $\left(\textcolor{red}{a} , \textcolor{b l u e}{b}\right)$ is
$\textcolor{w h i t e}{\text{XXX}} y - \textcolor{b l u e}{b} = \textcolor{g r e e n}{m} \left(x - \textcolor{red}{a}\right)$