what is the midpoint of the segment joining (12, 2) and (-5, -7)?

Answer 1

The midpoint of the segment (x₁,y₁)...(x₂,y₂) is

[(x₁+x₂)/2,(y₁+y₂)/2]

In this case [(7/2),(-5/2)]

Answer 2

The midpoint of a segment is a coordinate directly in the middle of the two end coordinates. The formula for the midpoint is:

( ((x₁ + x₂)/2) , ((y₁ + y₂)/2)

1. (x₁, y₁) and (x₂, y₂) = (12, 2) and (-5, -7)
2. ( ((12 + -5)/2) , ((2 + -7)/2))
3. ( (7/2), (-5/2) )
4. ( 3.5, -2.5)

Answer 3

To find the midpoint, you want to average the x values to find the x coordinate and average the y values to find the y coordinate. This means you add the two values and then divide by 2. The midpoint formula is:

( x₁ + x₂ , y₁ + y₂)

2 2

(12 - 5 , 2 - 7) (keep in mind that 12 + (- 5) is the same as 12 - 5)

2 2

The midpoint is at (7/2 , -5/2) or (3.5, -2.5) in decimal form.