Answer:
(a) y = 1/3 x is the correct equation.
Step-by-step explanation:
The given points are (6,2) and (12,4)
Now, if these points lie on any equation then they should satisfy the equation on which they lie.
CHECK FOR equation y = 1/3 x
if x = 6, y = 2 , then 2 = 1/3(6) , True
if x = 12, y = 4, then 4 = 1/3(12). True
So, y = 1/3x contains both the points.
CHECK FOR equation y = 3x + 2
if x = 6, y = 2 , then 2 ≠ 3(6) + 2
if x = 12, y = 4, then 4 ≠ 3(12). + 2
So, y = 3x + 2 do not contain both the points.
CHECK FOR equation y = 3x
if x = 6, y = 2 , then 2 ≠ 3(6)
if x = 12, y = 4, then 4 ≠ 3(12).
So, y = 3x do not contain both the point
Hence, (a) y=1/3x is the correct equation.
