# How do you graph the line that passes through (-2,2) parallel to the line whose slope is -1?

May 29, 2018

$y = - x$

#### Explanation:

If your line is parallel to the line whose slope is -1 then it will have the exact same slope:

$m = - 1$

Now just use the slope point formula for a line:

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

$y - 2 = - 1 \left(x - \left(- 2\right)\right)$

$y - 2 = - \left(x + 2\right)$

$y - 2 = - x - 2$

$y = - x$

graph{-x [-10, 10, -5, 5]}