Find the midpoint of the line segment joining the points s = (2,-1) and t = (-4,3)
To find the midpoint of the line segment joining the points S = (2, -1) and T = (-4, 3), we can use the midpoint formula:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Using the given points, the x-coordinates are:
x₁ = 2 and x₂ = -4
Using the given points, the y-coordinates are:
y₁ = -1 and y₂ = 3
Now, we can substitute these values into the midpoint formula:
Midpoint = ((2 + -4)/2, (-1 + 3)/2)
Midpoint = (-2/2, 2/2)
Midpoint = (-1, 1)
Therefore, the midpoint of the line segment joining the points S = (2, -1) and T = (-4, 3) is M = (-1, 1).