Question

What is the slope-intercept form (y=mx+b) of x-y=5?

Answer 1

`y=x-5`

Explanation:

`5=x-y`

`y+ 5=x`

`y=x-5`

The coefficient of x is 1, thus so is the gradient. `b`, or the y intercept, is -5.

Answer 2

`y=x-5`

Explanation:

`"rearrange "x-y=5" into slope-intercept form"`

`"subtract x from both sides"`

`cancel(x)cancel(-x)-y=5-x`

`rArr-y=5-x`

`"multiply all terms by "-1`

`rArry=-5+xrArry=x-5`