Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 4x - 20y = -160

Explanation:

Step1: Isolate the y-term

Subtract $4x$ from both sides.
$4x - 20y - 4x = -160 - 4x$
$-20y = -4x - 160$

Step2: Solve for y

Divide all terms by $-20$.
$\frac{-20y}{-20} = \frac{-4x}{-20} + \frac{-160}{-20}$

Step3: Simplify fractions

Reduce each fraction to lowest terms.
$y = \frac{1}{5}x + 8$

Answer:

$y = \frac{1}{5}x + 8$