# How do you write an equation of a line given point (-5,-1) and m=-5/4?

Nov 8, 2016

$y = \frac{- 5 x - 29}{4}$

#### Explanation:

Using this equation, you can find the equation of the line you're looking for: $y - {y}_{1} = m \left(x - {x}_{1}\right)$

In this case, ${y}_{1} = - 1$ and ${x}_{1} = - 5$, so

$y - \left(- 1\right) = - \frac{5}{4} \left(x - \left(- 5\right)\right)$

$y + 1 = - \frac{5}{4} \left(x + 5\right)$

$4 y + 4 = - 5 x - 25$

$4 y = - 5 x - 29$

$y = \frac{- 5 x - 29}{4}$