Question

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

Answer 1

Answer:

$y = \frac{1}{2} x + 7$

Step-by-step explanation:

Slope-intercept form is written as y = mx + b. So, the y must be isolated. Therefore, to answer this question, isolate the y in 2y - x = 14.

1) Move the x to the other side.

$2y - x = 14\\2y =x+14$

2) Divide all terms by 2 to finally isolate x.

$2y = x + 14\\\frac{2}{2}y= \frac{x}{2} + \frac{14}{2} \\y = \frac{1}{2} x + 7$

3) Therefore, $y = \frac{1}{2} x + 7$ must be the answer.