Question

The coordinates of the midpoint of AB are (-7, 6). If the coordinates of A are (2, -4) and the coordinates of B are (-16, y), what is the value of y?

A) -5
B) 16
C) 4
D) -2

Answer 1

The value of y is 16.

Step-by-step explanation:

To find the value of y, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

In this case, the coordinates of the midpoint are (-7, 6), the coordinates of A are (2, -4), and the coordinates of B are (-16, y). Plugging in these values into the midpoint formula, we get:

(-7, 6) = ((2 + (-16)) / 2, (-4 + y) / 2)

Simplifying this equation, we have:

(-7, 6) = (-7, -2 + y/2)

Therefore, we can see that the y-coordinate of the midpoint is 6, which corresponds to -2 + y/2. Solving for y, we get:

-2 + y/2 = 6

y/2 = 8

y = 16