Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 6x - 2y = 14

Explanation:

Step1: Isolate the y - term

Subtract $6x$ from both sides of the equation:
$-2y=14 - 6x$

Step2: Solve for y

Divide each term by - 2:
$y=\frac{14}{-2}-\frac{6x}{-2}$

Step3: Simplify the fractions

$y=-7 + 3x$
Rearrange to the slope - intercept form $y = mx + b$:
$y=3x-7$

Answer:

$y = 3x-7$