Question

Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)

Answer 1

`\boxed {\boxed {\sf (1.5 , 2.5)}}`

Explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

`(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})`

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

• x₁= 5
• y₁= 4
• x₂= -2
• y₂= 1

Substitute these values into the formula.

`( \frac {5+ -2}{2}, \frac {4+1}{2})`

Solve the numerators.

• 5+ -2 = 5-2 = 3
• 4+1 = 5

`( \frac {3}{2}, (5)/(2))`

Convert the fractions to decimals.

`(1.5, 2.5)`

The midpoint of the line segment is (1.5 , 2.5)