Question

How do you write the standard form of the equation given (2,-4) and slope -1?

Answer 1

Start with point-slope form, then convert to standard form. `x+y=-2`

Explanation:

Consider point--slope form:
`y-y_1=m(x-x_1)` where m is the slope of the line and `(x_1,y_1)` is a point on the line

We can begin by using point-slope form to write a linear equation:
`y+4=-1(x-2)` by distributing the -1 we get:
`y+4=-x+2` we can add x to both sides and subtract 4 from both sides to get the standard form:
`x+y=-2`