What is the equation of the line with slope  m= -1 that passes through  (7,4) ?

$x + y - 11 = 0$
The equation of the line passes through $\left({x}_{1} , {y}_{1}\right) \mathmr{and}$ has a slope $m$ is,
$\textcolor{red}{y - {y}_{1} = m \left(x - {x}_{1}\right) \Rightarrow y - 4 = - 1 \left(x - 7\right)}$
we have, $\left({x}_{1} , {y}_{1}\right) = \left(7 , 4\right) \mathmr{and} m = - 1$
$y - 4 = - x + 7 \Rightarrow x + y - 11 = 0$