Question

rewrite the following equation in slope - intercept form.
14x + 15y = 6
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Isolate the y-term

We start with the equation \(14x + 15y = 6\). To isolate the term with \(y\), we subtract \(14x\) from both sides of the equation.
\[15y = -14x + 6\]

Step2: Solve for y

Next, we divide every term in the equation by \(15\) to solve for \(y\).
\[y = \frac{-14x}{15} + \frac{6}{15}\]
Simplify the fraction \(\frac{6}{15}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(3\).
\[y = -\frac{14}{15}x + \frac{2}{5}\]

Answer:

\(y = -\frac{14}{15}x + \frac{2}{5}\)