Question

Find the midpoint of (4,5) & (2,2)

Answer 1

&

Explanation:

Answer 2

`\boxed {\boxed {\sf (3, (7)/(2)) \ or \ (3, 3.5)}}`

Explanation:

The midpoint is the middle point of a line segment that bisects (splits into 2 equal parts) the line segment. When we calculate the midpoint, we basically find the average of the x-coordinate, then the average of the y-coordinates. The formula is:

`((x_1+x_2)/(2) , (y_1+y_2)/(2))`

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the segment.

We are given the points (4,5) and (2,2). Match the value and the corresponding variable.

• x₁= 4
• y₁= 5
• x₂= 2
• y₂=2

Substitute these values into the formula.

`((4+2)/(2) , (5+2)/(2))`

Solve the numerators.

• X-coordinate: 4+2= 6
• Y-coordinate: 5+2=7

`((6)/(2), (7)/(2))`

Divide.

`(3, (7)/(2)) \ or \ (3, 3.5)`

The midpoint of the line segment is (3, 7/2) or (3, 3.5).