EQ: What is the midpoint formula?

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Presentation transcript:

EQ: What is the midpoint formula?

Bell Work Solve by elimination 3x + 6y = 6 2) 4x – 3y = 11 3) From #2, what is x – y?

What is the average of 8 and 10?

Midpoint: Divides a segment into two equal parts OR Average the x’s, , Average the y’s

Examples Find the distance between… M(-2,1) and N(-5,4) G(9,-4) and F (6,-9) 3) Find the perimeter of a triangle with points R(3,4), S(-8,1) and T(1,-2).

Examples Find the midpoint of PQ if… 1) P(-3,-1) and Q(5,2) 3) Find the center of a circle if AB is the diameter with A(-4,7) and B(-8,-2).

4) On a map, Jose’s house is located at (-4,-9) and Eli’s house is located at (2,6). What are the coordinates for Amanda’s house if she lives exactly halfway between Jose and Eli? 5) The midpoint of XY is point M(-12,5). If the coordinates of X are (-3,3), what are the coordinates of Y?