Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 4y - 2x = -8

Explanation:

Step1: Add \(2x\) to both sides

To isolate the term with \(y\), we add \(2x\) to both sides of the equation \(4y - 2x = -8\). This gives us \(4y = 2x - 8\).

Step2: Divide by 4

Now, we divide every term in the equation \(4y = 2x - 8\) by 4 to solve for \(y\). So, \(y=\frac{2x}{4}-\frac{8}{4}\). Simplifying the fractions, we get \(y = \frac{1}{2}x - 2\).

Answer:

\(y=\frac{1}{2}x - 2\)