Question

Write the standard form of the equation of line through (3, -1) with a slope of -1.

Answer 1

The standard form of a line:
`Ax+By=C`.

The point-slope form:
`y-y_1=m(x-x_1)`

We have the point (3, -1) and the slope m = -1. Substitute:

`y-(-1)=-1(x-3)`

`y+1=-x+3` add x to both sides

`x+y+1=3` subtract 1 from both sides

`\boxed{x+y=2}`