# What is the slope intercept form of the line with a slope of -1  that passes through  (-5,7) ?

Aug 13, 2016

$y = - x + 2$

#### Explanation:

The equation of a line passing through $\left({x}_{1} , {y}_{1}\right)$ and having a slope of $m$ is given by

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

Hence equation of of a line with slope $- 1$ and paint through $\left(- 5 , 7\right)$ is

y-7=(-1)×(x-(-5)) or

y-7=(-1)×x-(-1)(-5) or

$y - 7 = - x - 5$ or

$y = - x - 5 + 7$ or

$y = - x + 2$ in slope intercept form, where coefficient of $x$, which is $- 1$ is the slope and $2$ is intercept on $y$-axis.