# How do you find the point-slope form of the equation of the line passing through the Point: (1, –7); Slope: -2/3?

$y = a x + b$
$y = a x + b \implies - 7 = a + b$;
a is the slope of the equation, given as $- \frac{2}{3}$;
$- 7 = \left(- \frac{2}{3} \cdot 1\right) + b \implies - 7 = - \frac{2}{3} + b \implies b = - 7 + \frac{2}{3} \implies b = - \frac{19}{3}$
$y = a x + b \implies \underline{y = - \frac{2}{3} x - \frac{19}{3}}$