# What is the equation of the line passing through (-1,5))  with slope m= -1?

Jun 24, 2016

$y = - x + 4$

#### Explanation:

We can use the point-slope formula to solve for the equation of the line.

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

m = slope

${x}_{1} = - 1$
${y}_{1} = 5$
$m = - 1$

$\left(y - 5\right) = - 1 \left(x - \left(- 1\right)\right)$

$y - 5 = - 1 x - 1$

$y \cancel{- 5} \cancel{+ 5} = - 1 x - 1 + 5$

$y = - x + 4$

or

$y + x = 4$

or

$y + x - 4 = 0$