What is the coordinate point of Point V?

Question

The midpoint of line segment TV is located the point (-5,3). Point T is at the point (-2,-1).

Answer 1

Point T and Point V are the endpoints of the line TV.  We already know the point of one end and the midpoint.  We can use the midpoint formula to find the point at the other end of the line Point V.

 

M = ((x₁ + x₂) / 2  ,   (y₁ + y₂) / 2)

 

 

M = (-5, 3)    

x₁ = -2        

y₁ = -1

 

 

(-5, 3) = ((-2 + x₂) / 2  ,  (-1 + y₂) / 2)

 

Use this formula to set up two equations.  One to find the x-coordinate and the other to find the y-coordinate.

 

 

-5 = (-2 + x₂) / 2            and            3 = (-1 + y₂) / 2

 

-10 = -2 + x₂                        and             6 = -1 + y₂

 

-8 = x₂                         and               7 = y₂

 

 

 

The coordinate of point V is  (-8, 7).