Question

Put the following equation of a line into slope-intercept form, simplifying all

fractions.
2y - x = 14

Answer 1

`y = (1)/(2) x + 7`

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\\(2)/(2)y= (x)/(2) + (14)/(2) \\y = (1)/(2) x + 7`

3) Therefore,
`y = (1)/(2) x + 7` must be the answer.