Question

What is the equation of the line passing through `(-1,5))` with slope `m= -1`?

Answer 1

`y=-x+4`

Explanation:

We can use the point-slope formula to solve for the equation of the line.

`(y-y_1) = m(x-x_1)`

m = slope

`x_1 = -1`
`y_1= 5`
`m=-1`

`(y-5) = -1(x-(-1))`

`y - 5 = -1x-1`

`y cancel(-5) cancel(+5) = -1x-1 + 5`

`y=-x+4`

or

`y + x = 4`

or

`y + x - 4 = 0`