Question

put the following equation of a line into slope - intercept form, simplifying all fractions.
$6x + 4y = 12$
$-6x = -6x$ get y alone
$4y = -6x + 12$
$\frac{4y}{4}=\frac{-6x + 12}{4}$ divide
$y = -\frac{6}{4}x+\frac{12}{4}$ distribute division

Explanation:

Step1: Simplify the x-term fraction

$\frac{-6}{4} = -\frac{3}{2}$

Step2: Simplify the constant term fraction

$\frac{12}{4} = 3$

Step3: Write final simplified form

Substitute simplified fractions into the equation.

Answer:

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