Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 6x + 4y = 12

Explanation:

Step1: Isolate the y-term

Subtract $6x$ from both sides.
$4y = -6x + 12$

Step2: Solve for y

Divide all terms by 4.
$y = \frac{-6x}{4} + \frac{12}{4}$

Step3: Simplify fractions

Reduce each fraction to lowest terms.
$y = -\frac{3}{2}x + 3$

Answer:

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