4. which equation describes the line that contains the points (6,2) and (12,4)?

a. y=1/3x
b. y = 3x + 2
c. y = 3x

(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.

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step-by-step explanation:

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