# A line passes through the point (1, 6) and has a slope of -6?

$6 x + y - 12 = 0$
The equation of a line passing through the point $\left({x}_{1} , {y}_{1}\right) \mathmr{and}$ has a slope of $m$,is
$\textcolor{red}{y - {y}_{1} = m \left(x - {x}_{1}\right)}$, where, $\left({x}_{1} , {y}_{1}\right) = \left(1 , 6\right) \mathmr{and} m = - 6$
$\Rightarrow y - 6 = \left(- 6\right) \left(x - 1\right) \Rightarrow y - 6 = - 6 x + 6$
$\Rightarrow 6 x + y - 12 = 0$