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

Jan 30, 2016

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

#### Explanation:

Slope-intercept form of a line is:

$y = m x + b$ 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 $\left(1 , 1\right)$ is on the line, we can simply substitute this $x$ and $y$ value into the equation:

$y = m x + b$
$1 = \left(- 1\right) 1 + b$

Rearranging:

$b = 2$

Over all, then:

$y = m x + b = - x + 2$