Question

The midpoint of line segment PQ is located at M(-5,2). If point P is located at (-7,-2), what is the x-coordinate of point Q?

a) -3
b) -2
c) -4
d) -5

Answer 1

To find the x-coordinate of point Q, we can use the midpoint formula and plug in the given values. The x-coordinate of point Q is -3.

Step-by-step explanation:

To find the x-coordinate of point Q, we need to use the midpoint formula. The formula is: (x1 + x2) / 2 = x, where (x1, y1) and (x2, y2) are the coordinates of the endpoints and (x, y) is the coordinates of the midpoint. In this case, we have the coordinates of point P (-7, -2) and the midpoint M (-5, 2). Let's plug in these values and solve for x2:

(-7 + x2) / 2 = -5

-7 + x2 = -10

x2 = -3

Therefore, the x-coordinate of point Q is -3.