What part of the coordinate plane is equidistant from the points a(-3, 2) and b(3, 2)?
We will use the concept of the midpoint formula in order to find the part of the coordinate plane that is equidistant from the points a(-3, 2) and b(3, 2).
Answer: The part of the coordinate plane equidistant from the points a(-3, 2) and b(3, 2) is (0, 2).
Let us see how we will use the concept of the midpoint.
Explanation:
The midpoint formula states that if (x, y) is equidistant from the points (a, b) and (c, d) then,
x = (a + c) / 2 and y = (b + d) / 2.
Let us consider that (x, y) is equidistant from the points a(-3, 2) and b(3, 2).
Hence, x = (-3 + 3) / 2 = 0 and y = (2 + 2) / 2 = 2