Question

Given M is the midpoint of AR, if M is at coordinates (2,0) and R is at coordinates (-12,7), find the coordinates of A.

Answer 1

To find the coordinates of point A given the midpoint and another point, we can use the midpoint formula.

Step-by-step explanation:

To find the coordinates of point A, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points, A and R, is the average of their x-coordinates and the average of their y-coordinates. In this case, we have M(2,0) and R(-12,7).

The x-coordinate of point A can be found by taking the average of the x-coordinates of M and R: (2 + (-12))/2 = -5.

The y-coordinate of point A can be found by taking the average of the y-coordinates of M and R: (0 + 7)/2 = 3.5.

Therefore, the coordinates of point A are (-5, 3.5).