Given points H (-3, -8) and M (-6, 4), find the cordinates of point I (x, y), so M is the midppint of the segment that joins points H and I

Question

M is the midpoint

Answer 1

The formula for the midpoint is M = {(x₁ + x₂)/2, (y₁ + y₂)/2}

 

We are given that M = (-6, 4)

 

If we let (x₁, y₁) = (-3, -8), which are the coordinates for H, then we need to find (x₂, y₂), which will be the coordinates for I.

 

(-3 + x)/2 = -6

 

-3 + x = -12

 

x = -9

 

(-8 + y)/2 = 4

 

-8 + y = 8

 

y = 16

 

The coordinates of I are (-9, 16)