Question

put the following equation of a line into slope-intercept form, simplifying all fractions.
4x - 3y = 9

Explanation:

Step1: Isolate the y-term

Start with the equation \(4x - 3y = 9\). Subtract \(4x\) from both sides to get \(-3y=-4x + 9\).

Step2: Solve for y

Divide every term by \(-3\) to isolate \(y\). So \(y=\frac{-4x}{-3}+\frac{9}{-3}\), which simplifies to \(y = \frac{4}{3}x-3\).

Answer:

\(y=\frac{4}{3}x - 3\)