Question

Standard form: 10X - 7y = -8
slope-intercept form: ___________________

Answer 1

`y=(10)/(7)x+(8)/(7)`

Explanation:

Slope-intercept formula:

`y=mx+b`

Isolate
`y` on one side:

`10x - 7y = -8`

`(10x)/(7) -(7y)/(7) =(-8)/(7)` divide everything by 7 since 7 is the number next to
`y`

`(10x)/(7) -y =(-8)/(7)`

We can't simplify it any further, so let us rearrange it.

`y=(10x)/(7)-(-8)/(7)` According to the formula,
`y=mx+b`, the y is first

`y=(10)/(7)x+(8)/(7)`

Therefore,
`y=(10)/(7)x+(8)/(7)` is the slope-intercept form.