To determine which equation is perpendicular to y = 2x + ?, we need to find the negative reciprocal of the slope of y = 2x + ?.
The slope of y = 2x + ? is 2. The negative reciprocal of 2 is -1/2.
A. y = 2x - 5 has a slope of 2, so it is not perpendicular to y = 2x + ?.
B. y = (1/2)x + 3 has a slope of 1/2, so it is not perpendicular to y = 2x + ?.
C. y = 4x - 7 has a slope of 4, so it is not perpendicular to y = 2x + ?.
D. y = (-1/2)x - 6 has a slope of -1/2, which is the negative reciprocal of 2. Therefore, it is perpendicular to y = 2x + ?.
Therefore, the equation that is perpendicular to y = 2x + ? is D. y = (-1/2)x - 6.