Question

Which equation does the graph below represent?

y = 2x
y = 1/2x
y = 1/2 + x
y = 2 + x

Answer 1

y = ½x

Explanation:

Using (4,2) and (0,0)

y-intercept is 0

Slope: (2-0)/(4-0)

2/4 = 1/2

y = ½x + 0

y = ½x

Answer 2

B

Explanation:

Choose any point and put it into one of the choices of equations. Let's just do (4, 2):

A) y = 2x ⇒ 2 =? 2 * 4 ⇒ 2 ≠ 8 --- eliminate

B) y =1/2x ⇒ 2 =? 4 * (1/2) ⇒ 2 = 2 --- correct; keep it

C) y = 1/2 + x ⇒ 2 =? 1/2 + 4 ⇒ 2 ≠ 4.5 --- eliminate

D) y = 2 + x ⇒ 2 =? 2 + 4 ⇒ 2 ≠ 6 --- eliminate

Thus, B is the correct answer.

Hope this helps!