Question

What is the slope intercept form of the line passing through `(1,1)` with a slope of `-1`?

Answer 1

The equation of the line is `y= -x+2` since `m=-1` and `b=2`.

Explanation:

Slope-intercept form of a line is:

`y=mx+b` where `m` is the slope and `b` is the y-intercept

In this case we know that `m=-1`. To find `b`, knowing that the point `(1,1)` is on the line, we can simply substitute this `x` and `y` value into the equation:

`y=mx+b`
`1=(-1)1+b`

Rearranging:

`b=2`

Over all, then:

`y=mx+b = -x+2`