# What is the slope intercept form of the line passing through (1,-6)  with a slope of -6 ?

Apr 7, 2017

See the entire solution process below:

#### Explanation:

The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

We have be given $m$ as $- 6$ so we can substitute this value to give:

$y = \textcolor{red}{- 6} x + \textcolor{b l u e}{b}$

We can now substitute the value of the points from the problem and solve for $b$:

$- 6 = \left(\textcolor{red}{- 6} \times 1\right) + \textcolor{b l u e}{b}$

$- 6 = \left(\textcolor{red}{- 6} \times 1\right) + \textcolor{b l u e}{b}$

$6 - 6 = 6 - \textcolor{red}{6} + \textcolor{b l u e}{b}$

$0 = 0 + b$

$b = 0$

Substituting this now gives:

$y = \textcolor{red}{- 6} x + \textcolor{b l u e}{0}$