Question

convert to slope-intercept form by solving for y
\solve for y\ by rewriting the equation to the left in whats called \slope-intercept form.\
as always, use the sketch-space to show your work!
$y = mx + b$
$-8x - 2y = 10$

Explanation:

Step1: Add \(8x\) to both sides

To isolate the term with \(y\), we add \(8x\) to both sides of the equation \(-8x - 2y = 10\). This gives us \(-2y = 8x + 10\).

Step2: Divide by \(-2\)

Now, we divide every term in the equation \(-2y = 8x + 10\) by \(-2\) to solve for \(y\).
For the \(x\)-term: \(\frac{8x}{-2} = -4x\)
For the constant term: \(\frac{10}{-2} = -5\)
And for the \(y\)-term: \(\frac{-2y}{-2} = y\)
So we get \(y = -4x - 5\).

Answer:

\(y = -4x - 5\)