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put the following equation of a line into slope-intercept form, simplif…

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: \(-4y = -2x - 16\)

Step2: Solve for y

Divide each term by \(-4\): \(y=\frac{-2x}{-4}+\frac{-16}{-4}\)
Simplify fractions: \(y = \frac{1}{2}x + 4\)

Answer:

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