Use the information given to enter an equation in standard form.
(8, 12) and (7,8) are on the line.
we know that
the equation of the line in standard form is equal to
Ax+By=C
where
A is a positive integer
B and C are integers
so
step 1
Find the slope m
m=(8-12)/(7-8)
m=-4/-1
m=4
step 2
Find the equation of teh line in slope intercept form
y=mx+b
we have
m=4
point (7,8)
substitute
8=4(7)+b
solve for b
8=28+b
b=-20
the equation is
y=4x-20
step 3
Convert to standard form
4x-y=20
tehrefore
the answer is
4x-y=20