Question

Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3).

Answer 1

(1.5, 0)

Explanation:

We can use the midpoint formula to find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). Since we want the point to be on the x-axis, its y-coordinate will be 0.

Let's calculate the x-coordinate of the midpoint:

x-coordinate of midpoint = (x₁ + x₂) / 2

Using the given points:

x-coordinate of midpoint = (1 + 2) / 2 = 3 / 2 = 1.5

Therefore, the point on the x-axis that is equidistant from (1, 2) and (2, 3) is (1.5, 0).