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

##### 1 Answer
May 7, 2017

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

#### Explanation:

Consider point--slope form:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$ where m is the slope of the line and $\left({x}_{1} , {y}_{1}\right)$ is a point on the line

We can begin by using point-slope form to write a linear equation:
$y + 4 = - 1 \left(x - 2\right)$ 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:
$x + y = - 2$