Question

y=1/2x+1/4
Which of the following is a point that is part of the graph of the equation?
(0, 1/2)
(1/4,0)
(1/2,1/2)
(1, 1/2)

Answer 1

To determine which point is part of the graph of the equation, we can substitute the x and y values of each point into the equation and see if the equation is true.

For (0, 1/2):
y = 1/2(0) + 1/4 = 0 + 1/4 = 1/4, which is not equal to 1/2. Therefore, (0, 1/2) is not part of the graph of the equation.

For (1/4, 0):
y = 1/2(1/4) + 1/4 = 1/8 + 1/4 = 3/8, which is not equal to 0. Therefore, (1/4, 0) is not part of the graph of the equation.

For (1/2, 1/2):
y = 1/2(1/2) + 1/4 = 1/4 + 1/4 = 1/2. Therefore, (1/2, 1/2) is part of the graph of the equation.

For (1, 1/2):
y = 1/2(1) + 1/4 = 1/2 + 1/4 = 3/4, which is not equal to 1/2. Therefore, (1, 1/2) is not part of the graph of the equation.

Therefore, the point that is part of the graph of the equation is (1/2, 1/2).