# What is the equation of the line with slope  m= 3/8  that passes through  (-7,-3) ?

$y = \frac{3}{8} \left(x + 7\right) - 3 = \frac{3}{8} x - \frac{3}{8}$
In general, an equation for a line of slope $m$ passing through the point $\left(c , d\right)$ is
$y = m \left(x - c\right) + d = m x + \left(d - m c\right)$.
The first equality is sometimes written as $y - d = m \left(x - c\right)$ and is called "point-slope form" (and sometimes it's written $y - {y}_{0} = m \left(x - {x}_{0}\right)$ to emphasize that role of the coordinates).