How do you find the midpoint of (4.25,2.5), (2.5,-3)?

Question

Kennedy Adams · Accepted Answer

undefined To find the midpoint of two points, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

Using the midpoint formula, the midpoint between (4.25, 2.5) and (2.5, -3) can be calculated as follows:

Midpoint x-coordinate = (4.25 + 2.5) / 2 = 3.375
Midpoint y-coordinate = (2.5 + (-3)) / 2 = -0.25

Therefore, the midpoint of (4.25, 2.5) and (2.5, -3) is (3.375, -0.25).

Genesis Allen · Answer

See the entire solution process below:

The formula to find the mid-point of a line segment give the two end points is: #M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)# Where #M# is the midpoint and the given points are: (#color(red)((x_1, y_1))#) and (#color(blue)((x_2, y_2))#) Substituting the values from the problem gives: #M = ((color(red)(4.25) + color(blue)(2.5))/2 , (color(red)(2.5) + color(blue)(-3))/2)# #M = (6.75/2 , (-0.5)/2)# #M = (3.375, 0.25)#