# How do you write an equation in slope intercept form given that the line passes through the Point: (–3, 7); Slope: 4?

$y = a x + b$
$y = a x + b \implies 7 = - 3 a + b$;
a is the slope of the equation, we found that as $4$;
$7 = \left(- 3 \cdot 4\right) + b \implies 7 = - 12 + b \implies b = 19$;
$y = a x + b \implies \underline{y = 4 x + 19}$