1. Do Now
Tell whether these two lines are parallel, perpendicular or neither.
Given the ordered pair, (-1, 4), write an equation in point-slope form that is perpendicular to the line 3x + 9y = 8.

2. Homework Check
Make sure you are fixing your mistakes

3. Midpoint and Distance

4. How do we find a midpoint?
What is a midpoint?
A point in the middle!
How do we find a midpoint?
Taking the average of two coordinate points

5. To find the midpoint: Average the x-values Average the y-values
This gives you a point in the middle (x, y)

6. Find the point that is half way between the given points.
1) (2, 3) and (10, 3)
2) (-2, 6) and (-2, -2)
3) (1, -3) and (5, 7)

7. ANSWERS
1) (2, 3) and (10, 3)

8. ANSWERS
2) (-2, 6) and (-2, -2)

9. ANSWERS
3) (1, -3) and (5, 7)

10. What is a rule that we can use to find the midpoint
What is a rule that we can use to find the midpoint? (almost like a formula)

11. Midpoint
Find the midpoint between A(4,8) and B(1,12)

12. YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9)
B) (-5, 8) and (2, - 4)

13. How would you find the distance “as the crow flies”?

14. Brainstorm: How could we find the distance of each segment?

15. Let’s try

16. Let’s try

17. (subtract x)2 + (subtract y)2 = d2
The distance formula:
(subtract x)2 + (subtract y)2 = d2
What happens when we solve for d?

18. Distance Formula
**Leave the answer in simplest radical form, unless the directions tell you otherwise.

19. YOU TRY!! A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)
Find the distance between:
A. (2, 7) and (11, 9)
B. (-5, 8) and (2, - 4)

20. Connections to EOC Assessment:B
Connections to EOC Assessment:

21. Find the endpoint C if M is the midpoint of the segment CD and M=(2, 4) and D=(5, 7).
(-1, 1)

22. The midpoint of a segment AB is M=(6, -2). A has coordinates (1, 2)
The midpoint of a segment AB is M=(6, -2). A has coordinates (1, 2). Find the coordinates of B.
(11, -6)

23. Distance Formula 1) (5, 3) and (2, 7) 4) (3, -4) and (6, 2)
Find the distance between the following pairs of points:
Put your answers in simplest radical form.
1) (5, 3) and (2, 7)
4) (3, -4) and (6, 2)
2) (-3, 0) and (5, -4)
5) (-3, 5) and (-3, -5)
3) (-2, 5) and (7, 5)

24. ANSWERS
1) (5, 3) and (2, 7)

25. ANSWERS
2) (-3, 0) and (5, -4)

26. ANSWERS
3) (-2, 5) and (7, 5)

27. ANSWERS
4) (3, -4) and (6, 2)

28. ANSWERS
5) (-3, 5) and (-3, -5)