Question

What is this equation in slope-int form?

What is `-x + 0.5y = -4.5` in slope-int form?

Answer 1

`y = 2x-9`

Explanation:

Slope-int form requires the equation to be states as `y=mx+b`

Given `−x + 0.5y = −4.5`, we need to isolate the y.

Start by adding x to both sides.
`0.5y = x - 4.5`

Then multiply both sides by 2, and simplify
`y = 2(x - 4.5)`
`y = 2x - 9`

Answer 2

see a solution process below;

Explanation:

Recall the equation of a straight line;

`y = mx + c`

Where;

`m = "slope"`

`-x + 0.5y = -4.5`

Rearranging the equation..

`0.5y = x - 4.5`

Dividing through by `0.5`

`(0.5y)/0.5 = x/0.5 - 4.5/0.5`

`y = x/0.5 - 9`

Note: `0.5 = 5/10 = 1/2`

`y = x div 1/2 - 9`

`y = x xx 2/1 - 9`

`y = 2x - 9`

Comparing both equations..

`m = 2`

Therefore the slope of the equation is `2`

But the equation of the slope is `y = 2x - 9`