Standard form of a line:
[tex]Ax+By=C[/tex]First, let's find equation of the line in slope intercept form, y = mx + b.
Where m is slope and b is y intercept.
The slope is change in y's divided by change in x's.
The points are:
(2, 0)
and
(0, -4)
Slope = change in y/change in x = (-4-0)/(0-2) = -4/-2 = 2
Equation becomes:
y = 2x + b
we know y intercept is -4, so equation becomes:
y = 2x - 4
Now, we just need to put it into standard form. Shown below:
[tex]\begin{gathered} y=2x-4 \\ -2x+y=-4 \end{gathered}[/tex]