The graph represents y = 1/4x + 1/2

Question

Which ordered pairs represent a point on the line and solutions to the equation?

Select all that apply.

A. (3,1)
B. (-2,0)
C. (0,0.5)
D. (2,1)
E. (0,-2)
F. (6,2)

Answer 1

We need to check which of the ordered pairs satisfy the equation y = 1/4x + 1/2.

A. (3,1)
y = 1/4(3) + 1/2
y = 3/4 + 1/2
y = 3/4 + 2/4
y = 5/4
y = 1.25
So, (3,1) is not a solution to the equation.

B. (-2,0)
y = 1/4(-2) + 1/2
y = -2/4 + 1/2
y = -1/2 + 1/2
y = 0
(-2,0) is a solution to the equation.

C. (0,0.5)
y = 1/4(0) + 1/2
y = 0 + 1/2
y = 1/2
(0,0.5) is a solution to the equation.

D. (2,1)
y = 1/4(2) + 1/2
y = 2/4 + 1/2
y = 1/2 + 1/2
y = 1
(2,1) is a solution to the equation.

E. (0,-2)
y = 1/4(0) + 1/2
y = 0 + 1/2
y = 1/2
(0,-2) is not a solution to the equation.

F. (6,2)
y = 1/4(6) + 1/2
y = 6/4 + 1/2
y = 3/2 + 1/2
y = 2
(6,2) is a solution to the equation.

Therefore, the ordered pairs that represent a point on the line and solutions to the equation are:

B. (-2,0)
C. (0,0.5)
D. (2,1)
F. (6,2)