Question

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

Answer 1

To find the x-coordinate of point Q, we can use the midpoint formula. The x-coordinate of point Q is -3.

Step-by-step explanation:

To find the x-coordinate of point Q, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints. In this case, we have the x-coordinate of point P as -7 and the x-coordinate of the midpoint as -5. To find the x-coordinate of point Q, we can set up the equation:

(-7 + x-coordinate of Q) / 2 = -5

Solving for the x-coordinate of Q, we multiply both sides of the equation by 2 and add 7:

x-coordinate of Q = (-5 * 2) + 7 = -3

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