Question

If the midpoint of A(a, b) and B(-2, -9) is M(2, 2), find the value of 'a'.

a) 0
b) 2
c) 4
d) -4

Answer 1

The midpoint formula can be used to find the value of 'a' between two points A(a, b) and B(-2, -9) if the midpoint is M(2, 2). In this case, 'a' is equal to -2.

Step-by-step explanation:

To find the value of 'a', we can use the midpoint formula. The midpoint of two points (x1, y1) and (x2, y2) is given by the formula:

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

In this case, the midpoint is M(2, 2) and the points are A(a, b) and B(-2, -9). So, we can plug in the values to the formula and solve for 'a':

((-2 + a) / 2, (-9 + b) / 2) = (2, 2)

Solving for 'a', we get:

(-2 + a) / 2 = -2

-2 + a = -4

a = -4 + 2

a = -2

Therefore, the value of 'a' is -2. So the correct answer is d) -4.