Question

A line has a slope of 1 and passes through the point (7,5). What is its equation in

slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

`y=x-2`

Explanation:

Slope-intercept form is
`y=mx+b`, so if
`m=1`, then we have
`y=x+b` and we'll need to plug in
`(7,5)` to get
`b`, the y-intercept:

`y=x+b`

`5=7+b`

`-2=b`

Therefore, the final equation in slope-intercept form is
`y=x-2`