How do you find the midpoint of (-4,9) and (1, -3)?

Question

Jameson Allen · 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 (-4,9) and (1,-3) can be calculated as follows:

Midpoint x-coordinate = (x₁ + x₂) / 2
Midpoint y-coordinate = (y₁ + y₂) / 2

Substituting the given coordinates:
Midpoint x-coordinate = (-4 + 1) / 2 = -3/2 = -1.5
Midpoint y-coordinate = (9 + (-3)) / 2 = 6 / 2 = 3

Therefore, the midpoint of (-4,9) and (1,-3) is (-1.5, 3).

Nathan Axel · Answer

The midpoint is #=((-3 ) / 2 , 3)# The coordinates are: #(-4 , 9 ) = color(blue)(x_1, y_1# #(1 , -3 ) = color(blue)(x_2, y_2# The formula to find the midpoint is : #(color(blue)((x_1 + x _ 2 ) / 2 , (y_1 + y _2)/2))# #=((-4+1 ) / 2 , ( 9 + (-3))/2)# #=((-3 ) / 2 , ( 6)/2)# #=((-3 ) / 2 , 3)#