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QuestionFind the midpoint of the line segment with endpoints Q(6,3)Q(6,3) and R(2,5)R(2,5). Write coordinates as decimals or integers: M=M=

Studdy Solution

STEP 1

Assumptions1. The coordinates of point Q are (6,3) . The coordinates of point R are (,5)
3. We are asked to find the midpoint M of the line segment QR4. The midpoint formula is used to find the coordinates of the midpoint of a line segment with given endpoints

STEP 2

The midpoint formula is given asM=(x1+x22,y1+y22)M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)where (x1,y1)(x1, y1) and (x2,y2)(x2, y2) are the coordinates of the endpoints of the line segment.

STEP 3

Now, plug in the given values for the coordinates of points Q and R into the midpoint formula.
M=(6+22,3+52)M = \left(\frac{6 +2}{2}, \frac{3 +5}{2}\right)

STEP 4

Calculate the x-coordinate of the midpoint M.
xM=6+22=4x_M = \frac{6 +2}{2} =4

STEP 5

Calculate the y-coordinate of the midpoint M.
yM=3+52=4y_M = \frac{3 +5}{2} =4

STEP 6

So, the coordinates of the midpoint M are (4,4).
M=(4,4)M = (4,4)The midpoint of the line segment QR with endpoints Q(6,3) and R(2,5) is M(4,4).

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