Question

rewrite the following equation in slope-intercept form.
15x - 3y = -1
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

We start with the equation \(15x - 3y=-1\). Subtract \(15x\) from both sides to get \(-3y=-15x - 1\).

Step2: Solve for y

Divide every term by \(-3\) to isolate \(y\). So \(y=\frac{-15x}{-3}+\frac{-1}{-3}\), which simplifies to \(y = 5x+\frac{1}{3}\).

Answer:

\(y = 5x+\frac{1}{3}\)