Question

write $3x - 4y = 8$ in slope-intercept form.

Explanation:

Step1: Isolate the y-term

Subtract $3x$ from both sides.
$3x - 4y - 3x = 8 - 3x$
$-4y = -3x + 8$

Step2: Solve for y

Divide all terms by $-4$.
$\frac{-4y}{-4} = \frac{-3x}{-4} + \frac{8}{-4}$
$y = \frac{3}{4}x - 2$

Answer:

$y = \frac{3}{4}x - 2$