# How do you write the equation of a line in point slope form and slope intercept form given point (-1, 6) and has a slope of -4?

$y = a x + b$
$y = a x + b \implies 6 = - a + b$;
a is the slope of the equation, we found that as $- 4$;
$6 = \left(- 4 \cdot - 1\right) + b \implies 6 = 4 + b \implies b = 2$;
$y = a x + b \implies \underline{y = - 4 x + 2}$