# How do you write an equation of a line with Slope -6, passing through (5,6)?

Jul 7, 2015

Substitute the given values into the point-slope form for a linear equation: $y - {y}_{1} = m \left(x - {x}_{1}\right)$.

#### Explanation:

Slope$=$$- 6$
Point 1$=$$\left(5 , 6\right)$

The general form for this equation is $y - {y}_{1} = m \left(x - {x}_{1}\right)$, where ${y}_{1} = 6 ,$ $m = - 6 ,$ ${x}_{1} = 5$.

$y = 6 = - 6 \left(x - 5\right)$