Question

rewrite the following equation in slope - intercept form.
19x - 9y = 13
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Subtract \(19x\) from both sides of the equation \(19x - 9y = 13\).
\(-9y=-19x + 13\)

Step2: Solve for y

Divide every term by \(-9\) to solve for \(y\).
\(y=\frac{-19x}{-9}+\frac{13}{-9}\)
Simplify the fractions.
\(y = \frac{19}{9}x-\frac{13}{9}\)

Answer:

\(y=\frac{19}{9}x - \frac{13}{9}\)