Question

rewrite the following equation in slope - intercept form. 14x + 7y = 2 write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

We start with the equation \(14x + 7y = 2\). Subtract \(14x\) from both sides to get \(7y=-14x + 2\).

Step2: Solve for y

Divide every term in the equation \(7y=-14x + 2\) by 7. This gives \(y=\frac{-14x}{7}+\frac{2}{7}\). Simplifying the fractions, we have \(y = - 2x+\frac{2}{7}\).

Answer:

\(y=-2x+\frac{2}{7}\)