How do you find the midpoint of the segment with endpoints (-2,-1) and (-4,5)?

Question

Eva Adamson · Accepted Answer

undefined To find the midpoint of a segment with endpoints (-2,-1) and (-4,5), you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x,y) can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Using the formula, the x-coordinate of the midpoint is (-2 + -4) / 2 = -6 / 2 = -3. 
The y-coordinate of the midpoint is (-1 + 5) / 2 = 4 / 2 = 2.

Therefore, the midpoint of the segment with endpoints (-2,-1) and (-4,5) is (-3,2).

Eli Assouline · Answer

The midpoint #=(-3 , 2)# # (-2,-1) = color(blue)(x_1 , y _1)# # (-4,5) = color(blue)(x_2 , y _2)# The midpoint is calculated using formula: Midpoint # = (color(blue)((x_1 + x _ 2) /2 , ( y_ 1 + y_2) /2 ))# #=((-2+(-4))/2 , (-1+5)/2)# #=(-6/2 , 4/2)# #=(-3 , 2)#