Question

write the equation in slope-intercept form.
4y + 12x = 16

Explanation:

Step1: Isolate the y-term

Subtract \(12x\) from both sides of the equation \(4y + 12x = 16\).
\(4y + 12x - 12x = 16 - 12x\)
Simplifying gives \(4y = -12x + 16\).

Step2: Solve for y

Divide every term in the equation \(4y = -12x + 16\) by 4.
\(\frac{4y}{4} = \frac{-12x}{4} + \frac{16}{4}\)
Simplifying each term, we get \(y = -3x + 4\).

Answer:

\(y = -3x + 4\)