Question

Which equation represents a line that passes through (4,1/2)?

a) y= 1/2x - 1
b) y=2x+3
c) y=− 1/4x +2
d) y=−x+1/2
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Answer 1

After substituting x = 4 into each equation, none of them match the y-coordinate of 1/2. It appears there is an error as none of the given equations goes through the point (4, 1/2).

Step-by-step explanation:

To determine which equation represents a line that passes through the point (4,1/2), we must plug in the x-coordinate (4) into each equation and check if the resulting y-coordinate is 1/2.

y = 1/2x - 1: If x = 4, y = 1/2(4) - 1 = 2 - 1 = 1. The y-coordinate is not 1/2, so this equation is incorrect.

y = 2x + 3: If x = 4, y = 2(4) + 3 = 8 + 3 = 11. The y-coordinate is not 1/2, so this equation is incorrect.

y = -1/4x + 2: If x = 4, y = -1/4(4) + 2 = -1 + 2 = 1. The y-coordinate is not 1/2, so this equation is incorrect.

y = -x + 1/2: If x = 4, y = -4 + 1/2 = -3.5. The y-coordinate is not 1/2, so this equation is also incorrect.

Upon substituting x = 4 into each of the equations, none of the options provide a y-coordinate of 1/2. Therefore, according to the given options, there seems to be an error as none of the equations listed passes through the point (4, 1/2).