we know that
the equation of the standard form of a line is equal to
[tex]Ax+By=C[/tex]
where
A is a positive integer, and B, and C are integers
Let
[tex]A(-3,-2)\ B(-1,2)[/tex]
Step 1
Find the slope of the line
The slope of the line is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the values
[tex]m=\frac{2+2}{-1+3}[/tex]
[tex]m=\frac{4}{2}=2[/tex]
Step 2
Find the equation of the line into slope intercept form and then convert to standard form
[tex]y=mx+b[/tex]
we have
[tex]m=2[/tex]
[tex]b=4[/tex] -----> see the graph
substitute
[tex]y=2x+4[/tex]
Convert to standard form
[tex]2x-y=-4[/tex]
therefore
the answer is
[tex]2x-y=-4[/tex]
