# How do you write an equation in standard form given (-6, -7) m= -1?

Jul 31, 2016

y = -x - 13

#### Explanation:

Since this question gives us a point (-6 ,-7) and slope, m= -1 , to obtain the equation use the $\textcolor{b l u e}{\text{point-slope form of the equation}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

here m = -1 and (x_1,y_!)=(-6,-7)

substitute these values into the equation

$y - \left(- 7\right) = - 1 \left(x - \left(- 6\right)\right)$

$\Rightarrow y + 7 = - \left(x + 6\right) \Rightarrow y + 7 = - x - 6$

$\Rightarrow y = - x - 13 \text{ is the equation}$