1. Bell Ringer  Camillus has two more than twice the points Darius has. If Camillus has 90 points, how many does Darius have? 2d + 2 = 90 – 2 – 2 2d = 88 d = 44 points

2. Quiz Answers… a.(-8, 1) b.(-2, 4) c.(1, 3) d.(0, -7) e.(3, -4) 1. 2. 3. m = 3 4. m = -9/16 5. m = -7 6. m = -3 7. m = 0 xy 0-6 1-2 22 xy 01 10 2

3. Quiz Answers… 8. m = 2 b = -6 y = 2x – 6 9. y = 4x + 2 10. y = 4 11. y = -3x – 1 12. b = -10 y = 3x – 10 13. b = 10 y = -2x + 10 14. m = 4, b = 13 y = 4x + 13 15. m = -2, b = 5 y = -2x + 5

4. Quiz Answers… Extra Credit: a.y = ¼ x – ¼ b.y = -3x + 6

5. The Midpoint Formula GRE 504: Find the midpoint of a line segment*

6. What we know…  The midpoint is the middle of a line segment.  We will find the middle of horizontal and vertical lines first.

7. Vertical and Horizontal Lines Find the midpoint by dividing the line segment by two.. (-8, 7)(2, 7) (-3, 7) Here’s the midpoint (6, -1) (6, -8) (6, 6). Here’s the midpoint

8. Diagonal Lines!!!! Noooooo!!! The Midpoint…. (-1, 0) (3, 6) (-5, -6) Here’s the middle of y Find the middle of the x and y. 12 8 Here’s the middle of x Here’s the midpoint! So, we just add the x’s and divide by 2 and we add the y’s and divide by 2.

9. The Midpoint Formula x 1 + x 2 y 1 + y 2 2 2 (), Where (x 1, y 1 ) and (x 2, y 2 ) are the endpoints of the line segment. (3, 6) (9, 2) (x 1, y 1 ) (x 2, y 2 )

10. The Midpoint Formula x 1 + x 2 y 1 + y 2 2 2 (), (3, 6) (9, 2) 3 + 9 6 + 2 2 12 8 2 2, (), () = (6, 4) The answer could be in fractions!