Question

write the equation in slope-intercept form.
-10x + 2y = 12

Explanation:

Step1: Isolate the y-term

We start with the equation \(-10x + 2y = 12\). To isolate the term with \(y\), we add \(10x\) to both sides of the equation.
\[
-10x + 2y + 10x = 12 + 10x
\]
Simplifying the left side, the \(-10x\) and \(+10x\) cancel out, leaving us with:
\[
2y = 10x + 12
\]

Step2: Solve for y

Now, we want to solve for \(y\), so we divide every term in the equation by \(2\) (the coefficient of \(y\)).
\[
\frac{2y}{2}=\frac{10x}{2}+\frac{12}{2}
\]
Simplifying each term, we get:
\[
y = 5x + 6
\]

Answer:

\(y = 5x + 6\)