Question

put the following equation of a line into slope-intercept form, simplifying all fractions.
2x - 3y = 18

Explanation:

Step1: Isolate the y-term

Subtract \(2x\) from both sides: \(-3y = -2x + 18\)

Step2: Solve for y

Divide every term by \(-3\): \(y=\frac{-2}{-3}x+\frac{18}{-3}\)
Simplify the fractions: \(y = \frac{2}{3}x - 6\)

Answer:

\(y=\frac{2}{3}x - 6\)