Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 3x + 9y = 63

Explanation:

Step1: Isolate the y - term

Subtract \(3x\) from both sides of the equation \(3x + 9y=63\).
\(9y=-3x + 63\)

Step2: Solve for y

Divide each term in the equation \(9y=-3x + 63\) by 9.
\(y=\frac{-3x}{9}+\frac{63}{9}\)

Step3: Simplify the fractions

\(y =-\frac{1}{3}x + 7\)

Answer:

\(y=-\frac{1}{3}x + 7\)