# What is the slope intercept form of the line passing through (2,12)  with a slope of -2 ?

You fill in the $y = a x + b$ form with the values of the point.
$\to 12 = - 2 \cdot 2 + b \to 12 = - 4 + b \to b = 16$
Answer: $y = - 2 x + 16$