Question

rewrite the following equation in slope-intercept form, 13x - 9y = 20 write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Start with the equation \(13x - 9y = 20\). Subtract \(13x\) from both sides to get \(-9y=-13x + 20\).

Step2: Solve for y

Divide every term by \(-9\) to solve for \(y\). So \(y=\frac{-13x}{-9}+\frac{20}{-9}\), which simplifies to \(y = \frac{13}{9}x-\frac{20}{9}\).

Answer:

\(y=\frac{13}{9}x - \frac{20}{9}\)