Finite Mathematics, Chapter 1, 1.1, Section 1.1, Problem 26

Determine a equation in slope intercept form (where possible) for the line that has $x$-intercept of $-2$ and $y$-intercept of $4$.

Recall that the equation of the line with given intercepts is given by

$
\begin{equation}
\begin{aligned}
\frac{x}{a} + \frac{y}{b} &= 1
&& \text{Where $a$ and $b$ is $x$ and $y$-intercept respectively.}\\
\\
\frac{x}{-2} + \frac{y}{4} &= 1
&& \text{Substitute the given parameters}\\
\\
\frac{-x}{2} + \frac{y}{4} &= 1 \\
\\
\frac{-4(x) + 2(y)}{8} &= 1
&& \text{Set the LCD}\\
\\
-4x + 2y &= 8
&& \text{General equation of the line.}\\
\\
2y &= 4x + 8
&& \text{Divide each side of the equation by } 2\\
\\
y &= 2x + 4
&& \text{Slope intercept form}
\end{aligned}
\end{equation}
$