Question

rewrite the following equation in slope-intercept form.

6x + 15y = 4

write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract \(6x\) from both sides of the equation \(6x + 15y = 4\).
\(15y = -6x + 4\)

Step2: Solve for y

Divide every term by 15 to solve for \(y\).
\(y = \frac{-6x}{15} + \frac{4}{15}\)
Simplify the fractions. The fraction \(\frac{-6}{15}\) can be simplified by dividing numerator and denominator by 3, resulting in \(\frac{-2}{5}\).
\(y = -\frac{2}{5}x + \frac{4}{15}\)

Answer:

\(y = -\frac{2}{5}x + \frac{4}{15}\)