Math

QuestionFind the midpoint of the segment with endpoints (9,2)(-9,-2) and (1,8)(-1,-8).

Studdy Solution

STEP 1

Assumptions1. The endpoints of the segment are (-9,-) and (-1,-8) . The midpoint of a segment is the point that divides the segment into two equal parts

STEP 2

The formula to find the midpoint of a segment with endpoints (x1,y1)(x1, y1) and (x2,y2)(x2, y2) is given byMidpoint=(x1+x22,y1+y22)Midpoint = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)

STEP 3

Now, plug in the given values for the endpoints into the midpoint formula.
Midpoint=(9+12,2+82)Midpoint = \left(\frac{-9 + -1}{2}, \frac{-2 + -8}{2}\right)

STEP 4

Calculate the x-coordinate of the midpoint.
x=9+12=x = \frac{-9 + -1}{2} = -

STEP 5

Calculate the y-coordinate of the midpoint.
y=2+82=5y = \frac{-2 + -8}{2} = -5The midpoint of the segment with endpoints (-9,-2) and (-1,-8) is (-5,-5).

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