Question

put the following equation of a line into slope - intercept form, simplifying all fractions.
$3x - 3y = 15$

Explanation:

Step1: Isolate the y-term

Subtract \(3x\) from both sides of the equation \(3x - 3y = 15\).
\(3x - 3y - 3x = 15 - 3x\)
Simplifying gives \(-3y = -3x + 15\).

Step2: Solve for y

Divide every term in \(-3y = -3x + 15\) by \(-3\).
\(\frac{-3y}{-3}=\frac{-3x}{-3}+\frac{15}{-3}\)
Simplifying each fraction gives \(y = x - 5\).

Answer:

\(y = x - 5\)