How do you rewrite 9y - 54x = 18 in slope-intercept form?

May 14, 2017

See a solution process below:

Explanation:

The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Therefore, first, add $\textcolor{red}{54 x}$ to each side of the equation to isolate the $y$ term on the left side of the equation while keeping the equation balanced:

$9 y - 54 x + \textcolor{red}{54 x} = \textcolor{red}{54 x} + 18$

$9 y - 0 = 54 x + 18$

$9 y = 54 x + 18$

Now, divide each side of the equation by $\textcolor{red}{9}$ to solve for $y$ while keeping the equation balanced:

$\frac{9 y}{\textcolor{red}{9}} = \frac{54 x + 18}{\textcolor{red}{9}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} y}{\cancel{\textcolor{red}{9}}} = \frac{54 x}{\textcolor{red}{9}} + \frac{18}{\textcolor{red}{9}}$

$y = \textcolor{red}{6} x + \textcolor{b l u e}{2}$