Question

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

Answer 1

(a) y = 1/3 x is the correct equation.

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.