# How do you write an equation in standard form for the line through (7,9), parallel to x+4y=7?

$x + 4 y = 43$
Any line parallel to $x + 4 y = 7$
can be expressed as $x + 4 y = k$ for some constant $k$
Since $\left(7 , 9\right)$ is a point on the desired parallel line:
$\textcolor{w h i t e}{\text{XXXX}}$$k = x + 4 y = 7 + 4 \left(9\right) = 43$