Question

Find the coordinates of the midpoint of segment HX. 1 H4 3 34) and x2 4,-23 The coordinate of the midpoint of the Segment HX are() 3 3 3,3 8 3 -3 8 A) Ob

Answer 1

Step-by-step explanation

Before we begin, we should convert these coordinates into decimals

4 (1/2) = 4.50

-3 (1/4) = -3.25

2 (1/4) = 2.25

-2 (3/4) = -2.75

So, we can write the question as trying to find the midpoint between the coordinates (4.50, -3.25) and (2.25, -2.75)

The midpoint of these coordinates divides the distance between them into a ratio of 1:1

Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + nx₁)/(m + n)]

y = [(my₂ + ny₁)/(m + n)]

For this question,

(x₁, y₁) and (x₂, y₂) is (4.50, -3.25) and (2.25, -2.75) respectively

x₂ = 2.25

x₁ = 4.50

y₂ = -2.75

y₁ = -3.25

m = 1

n = 1

x = [(mx₂ + nx₁)/(m + n)]

x = [(1×2.25 + 1×4.50)/(1 + 1)]

x = (17/4) = 4.25