Answer
$2x-y=9$
Work Step by Step
Parallel lines have equal slopes.
The given line has a slope of $2$.
This means that the slope of the line parallel to it is also $2$.
Thus, the tentative equation of the line is $y=2x+b$.
To find the value of $b$, substitute the x and y-coordinates of $(2, -5)$ into the tentative equation to have:
$y=2x+b
\\-5 = 2(2)+b
\\-5=4+ b
\\-5-4=b
\\-9=b$
Thus, the equation of the line parallel to the given line is $y=2x-9$.
Convert this equation to $ax+by=c$ form to have:
$y=2x-9
\\-2x+y=-9
\\-1(-2x+y)=-9(-1)
\\2x-y=9$
