Question

If P(a, c) and Q(b, c) are two points in the coordinate plane, show that the coordinates of the midpoint are (b - b-a/2, c)

Answer 1

The coordinates of the midpoint between points P(a, c) and Q(b, c) are ( (b - a) / 2 , c)

Step-by-step explanation:

To find the coordinates of the midpoint between points P(a, c) and Q(b, c), we can use the midpoint formula:

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

In this case, the x-coordinates of P and Q are a and b respectively, and the y-coordinates are both c.

Plugging the values into the formula, we get:

M = ( (a + b) / 2 , (c + c) / 2 )

Simplifying it further, we get:

M = ( (b - a) / 2 , c )

Therefore, the coordinates of the midpoint are (b - a) / 2, c)