Question

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

Answer 1

`y = 0.5x - 2`

Explanation:

Slope intercept form is

`y = mx + b`

Our initial goal is to isolate y.

`2y - x = -4`

Add x to both sides of the equation.

`(2y - x) + x = (-4) + x`

Simplify.

`2y =x -4`

Divide both sides by 2.

`(2y )/(2) = \frac{(x - 4)}2}`

Simplify.

`y = 0.5x - 2`

Answer 2

y=1/2x-2

Explanation:

2y=-4+x

2y=x-4 divide both sides by 2

y=1/2x-4/2

y=1/2x-2