y= 1/9x
y= 1/9x +2/24
y = 1/9x + 3/36
1) To be on the same line, they must share the slope and their points
Let's rewrite that into the standard form
x -9y =3/4
-9y = 3/4 -x
9y = 3/4 +x Divide both sides by 9
y = 1/12 + x/9
y= x/9 + 1/12
2) Since we have the slope 1/9, then we can write the first equation as
y= 1/9x On the same line
y= 1/9x +2/24 2/24 is a multiple of 1/12, therefore on the same line
y = 1/9x + 3/36 3/36 is a multiple of 1/12, therefore on the same line