1. The Distance & Midpoint Formulas

2. Finding the
Distance
Between
Two Points

3. Finding the Length of a Line Segment
Formula given to find the distance between any two points :

4. Ex.1
Points: P(0,3) Q(6,5) 2 1
Find the length of line segment P and Q: 3 4

5. Find the distance between the points (3,5) and (6,4).

6. Finding the Midpoint of a Line Segment
When finding the MIDPOINT of a line segment having endpoints
and
Find the Midpoint:
Midpoint

7. Determine the Coordinates of the Midpoint of the line segment with endpoints:

8. Graphing Equations w/ TWO Variables

9. NAME THE COORDINATES & QUADRANT FOR EACH POINT
A: (6, 5) I
B: (4, 6) I
C: (2, 1) I
D: (-4, 3) II
E: (-5, 0) x-axis
F: (-3, -2) III
G: (0, -4) y-axis
H: (4, -4) IV

10. y = -3x + 6 Y X 6

11. y = -3x + 6 Y X 6 -1 9

12. y = -3x + 6 Y X 6 -1 9 1 3

13. y = -3x + 6 Y X 6 -1 9 1 3 2

14. Now DRAW the Line Y
(1,3)
(-1,9) X
(2,0)
(0,6)

15. Intercepts
If you replace the “x” value with zero and solve for “y” you will find the y-intercept.
If you replace the “y” value with zero and solve for “x” you will find the x-intercept.

16. Intercepts Y X
y-Intercept
x-Intercept

17. Graph.
y = 3
Line is Horizontal x y y -2 3 -1 3 3 1 3 2 3 x 3 3 4 3
Any line in the
form y = k will
be horizontal. 5 3

18. Graph.
x = -2
Line is Vertical x y y -2 -2 -2 -1 -2 -2 1 -2 2 x -2 3 -2 4 -2 5

19. Review
Horizontal Lines
Vertical Lines
y = “a number”
x = “a number”

20. Graph x = -4 on a coordinate plane.y x