Step-by-step explanation:
these intercepts are also points.
for an y- intercept x =0.
for an x- intercept y = 0.
so, we have the points (6,0) and (0, 2).
the regular equation for a line is
y = ax + b
(0, 2) gives us b directly :
2 = a×0 + b = b
and from there with the second point
0 = a×6 + 2
0 = 3a + 1
-1 = 3a
a = -1/3
so, the equation is
y = (-1/3)x + 2
and transform to standard form
3y = -x + 6
x + 3y = 6
that is the same as
2x + 6y = 12 of the answer options.
