Fine the midpoint M it the line segment joining the points A=(-4,1) and B=(-8,-7)

Question

asked Feb 25, 2024 89.3k views

1 Answer

Dale Jefferson · Answer 1 · 2024-03-01T22:57:58+0000

Answer: (-6, -3)

Explanation:

We can use the midpoint formula to solve. This formula finds the average of the x-value and the average of the y-value.

Given midpoint of a segment between two points:

$\displaystyle ((x_(1)+x_(2) )/(2), (y_(1)+y_(2) )/(2) )$

Substitute known values:

$\displaystyle ((-4+-8)/(2), (1+-7)/(2) )$

Add:

$\displaystyle ((-12)/(2), (-6)/(2) )$

Divide:

$\displaystyle (-6, -3 )$