Question

Find the midpoint of the line segment joining the points (-2,-3) and (-8,6)

Answer 1

(-5, 1.5)

Explanation:

If we have two points, (x₁, y₁) and (x₂, y₂), we can use the Midpoint Formula to find the midpoint of the line segment that joins those two points. The Midpoint Formula states that the midpoint of the line segment joining two points, (x₁, y₁) and (x₂, y₂), is
`((x_(1) +x_(2) )/(2) , (y_(1)+y_(2) )/(2))`. We know that (x₁, y₁) = (-2, -3) and (x₂, y₂) = (-8, 6) so after we substitute those values into the formula, we get:

`((-2+(-8))/(2),(-3+6)/(2))\\ = ((-10)/(2),(3)/(2))\\ =(-5,1.5)`