Help with linear equation

Question

Define the linear equation when the the slope is $3$ and the line passes through a point $(-2,4)$.

Answer 1

Linear equation defined as $y=mx+b$

Therefore, $y=3x+b$ due to your slope. When substituting $(-2,4)$, you get $4=3(-2)+b$.

$4=-6+b$

$b=10$

Therefore, the linear equation of your line would be $y=3x+10$.