Writing Linear Functions

Start by using the equation of a line, $y=mx+b.$ The coefficient in front of $x$ is the slope, $m,$ and the constant is the $y$-intercept, $b.$ Note that both $m$ and $b$ are both constants, so $x$ is not included in $m.$

We use the same reasoning as in the previous part of the exercise. If we compare $y=\text{-}4.5x-12$ with the equation of a line, $y=mx+b,$ we see that $m=\text{-}4.5$ and $b=\text{-}12.$

We repeat the same process, but here we first need to identify the coefficient in front of $x.$ By writing the term as $1x$ we can see that that $m=1$ and $b=1.$