we have the equation of the line
y-4=-7(x+1)
This is the equation in point-slope form
Convert the given equation to standard form
Ax+By=C
where
A is a positive integer
B and C are integers
so
y-4=-7(x+1)
apply distributive property right side
y-4=-7x-7
y=-7x-7+4
y=-7x-3
7x+y=-3 ----> standard form