Question

write the equation in slope-intercept form,\
$-5x + 15y = -30$

Explanation:

Step1: Add \(5x\) to both sides

To isolate the term with \(y\), we add \(5x\) to both sides of the equation \(-5x + 15y=-30\). This gives us \(15y = 5x-30\).

Step2: Divide by 15

Now, we divide each term in the equation \(15y = 5x - 30\) by 15 to solve for \(y\). So, \(y=\frac{5x}{15}-\frac{30}{15}\). Simplifying the fractions, we get \(y=\frac{1}{3}x - 2\).

Answer:

\(y=\frac{1}{3}x - 2\)