Question

rewrite the following equation in slope-intercept form.

5x - 2y = 6

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

Explanation:

Step1: Isolate the y-term

Subtract \(5x\) from both sides: \(-2y = -5x + 6\)

Step2: Solve for y

Divide every term by \(-2\): \(y=\frac{-5}{-2}x+\frac{6}{-2}\)
Simplify fractions: \(y = \frac{5}{2}x - 3\)

Answer:

\(y=\frac{5}{2}x - 3\)