Question

Find the midpoint of A and B where A has coordinates (2,7)
and B has coordinates (6,3).

Answer 1

Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)

We need to determine the midpoint of A and B

Midpoint of A and B:

The midpoint of A and B can be determined using the formula,

$Midpoint =(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the points (2,7) and (6,3) in the above formula, we get;

$Midpoint =(\frac{2+6}{2}, \frac{7+3}{2})$

Adding the numerator, we have;

$Midpoint =(\frac{8}{2}, \frac{10}{2})$

Dividing the terms, we get;

$Midpoint =(4, 5)$

Thus, the midpoint of the points A and B is (4,5)

Answer 2

The midpoint of A and B where A has coordinates (2,7) and B has coordinates (6,3) is (4, 5)

If B(x, y) is the midpoint of the line segment AC with end points at A(x₁, y₁) and C(x₂, y₂), the coordinates of B is:

x = (x₁ + x₂)/2; y = (y₁ + y₂)/2

Let O(x, y) be the midpoint of A and B where A has coordinates (2,7) and B has coordinates (6,3). Hence:

x = (2 + 6)/2 = 4; y = (7 + 3)/2 = 5

Hence the midpoint of A and B is (4, 5)

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