Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 2x - 4y = -16

Explanation:

Step1: Isolate the y-term

Subtract \(2x\) from both sides of the equation \(2x - 4y = -16\).
\(2x - 4y - 2x = -16 - 2x\)
Simplifying gives \(-4y = -2x - 16\).

Step2: Solve for y

Divide every term in \(-4y = -2x - 16\) by \(-4\) to solve for \(y\).
\(y=\frac{-2x}{-4}+\frac{-16}{-4}\)

Step3: Simplify the fractions

Simplify each fraction: \(\frac{-2}{-4}=\frac{1}{2}\) and \(\frac{-16}{-4} = 4\).
So, \(y=\frac{1}{2}x + 4\).

Answer:

\(y=\frac{1}{2}x + 4\)