Question

put the following equation of a line into slope-intercept form, simplifying all fractions.
9y - 3x = 18

Explanation:

Step1: Isolate the y - term

We start with the equation \(9y - 3x=18\). First, we add \(3x\) to both sides of the equation to get the \(y\) - term by itself. So, \(9y-3x + 3x=18 + 3x\), which simplifies to \(9y=3x + 18\).

Step2: Solve for y

Next, we divide every term in the equation \(9y = 3x+18\) by 9 to solve for \(y\).
For the first term: \(\frac{9y}{9}=y\)
For the second term: \(\frac{3x}{9}=\frac{1}{3}x\)
For the third term: \(\frac{18}{9} = 2\)
So, \(y=\frac{1}{3}x + 2\)

Answer:

\(y=\frac{1}{3}x + 2\)