Question

rewrite the following equation in slope - intercept form. 11x - 4y = 6 write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

Start with the equation \(11x - 4y = 6\). Subtract \(11x\) from both sides to get \(-4y=-11x + 6\).

Step2: Solve for y

Divide every term by \(-4\) to solve for \(y\). So \(y=\frac{-11x}{-4}+\frac{6}{-4}\), which simplifies to \(y = \frac{11}{4}x-\frac{3}{2}\).

Answer:

\(y=\frac{11}{4}x - \frac{3}{2}\)