Find the missing endpoint

Question

Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12, -5).

Answer 1

There are 2 ways of solving this type of question :

1. Using the midpoint formula where midpoint for x M(x) = (x₁ ⁺ x₂)/2 and Midpoint for y = (y₁+y₂₎/2

we know that for x , the midpoint is 2 and for y the midpoint is -5 and we also have one endpoint (12, -5). Let's substitute within the formula for midpoint of x ....

2=(12+x₂)/ 2

4 = (12+x₂) ( multiplied both sides by 2 to get rid of the bottom fraction from right side )

4-12 =x₂

-8 = x₂

and for midpoint of y -5=(-5+y₂₎/2

-10 = -5 +y₂

-10+5= y₂

-5 =y₂

so the other endpoint is at (-8, -5)

2 . Graph the coordinates point and based on the slope you can start from midpoint and find the second endpoint .