Find the midpoint of the line segment joining the points s = (2,-1) and t = (-4,1)
To find the midpoint of a line segment joining two points, we can use the midpoint formula.
The formula for finding the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Using the given points:
s = (2, -1)
t = (-4, 1)
Let's substitute these values into the formula:
Midpoint = ((2 + -4)/2, (-1 + 1)/2)
= (-2/2, 0/2)
= (-1, 0)
Therefore, the midpoint of the line segment joining the points s = (2, -1) and t = (-4, 1) is (-1, 0).