1. Ch 4.1 Objective: To plot points in the coordinate plane.

2. Definition Coordinate Plane A plane created by the x-axis and y-axis in which the coordinates of a point are its distances from the origin.

3. More Definitions Coordinate A point written as an ordered pair (x, y). Origin The point where the x-axis and y-axis cross, written as (0, 0).

4. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Number Line One Dimensional x Number Line (x-axis)

5. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 5 4 3 2 1 -2 -3 -4 -5 -6 Number Line One Dimensional Coordinate Plane Two Dimensional x-axis y-axis Coordinate Plane (x –axis & y-axis)

6. And Another Definition Quadrants The four regions of the plane labeled with Roman numerals. Think of a clock: start at 1:00 and go counter-clockwise (backwards).

7. D -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 5 4 3 2 1 -2 -3 -4 -5 -6 (3,2) (x,y) Coordinate (0,0) origin Plot A(-3,1) B(5,-4) C(-4,-6) D(0,5) A B C x-axis y-axis Coordinate Plane Two Dimensional Number Line One Dimensional Plotting Points

8. Name the quadrant where each point would be located. 1) (2, -6) 2) (5, 7) 3) (-6, -5) 4) (6, -10) 5) (-7, 12) 6) (240, -1) 7) (-19, 7400) 8) (7, 0) IV I III IV II IV II No Quadrant

9. Ordered Pairs Domain - set of x-values. Range - set of y-values. { (3, -2), (4, 1), (-3, -4), (0, 2), (-4, 0) } 1) State the domain. 2) State the range. 3) Plot the Points { 3, 4, -3, 0, -4} { -2, 1, -4, 2, 0 } x y

10. 0 100 200 300 400 500 600 Animal Brain Weight (g) Max. Life (yr.) Mouse Fox Jaguar Sheep Pig Seal Donkey Chimp 0.4 50.4 157 175 180 325 419 440 3.2 9.8 22.4 20 27 41 40 50 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Scatterplots

11. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Trend is increasing Scatterplot - a coordinate graph of data points. Line of Best Fit -Points act like magnets attracting the line. Trend looks linear

12. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

13. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

14. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.

15. 0 100 200 300 400 500 600 x y Brain Weight (g) Max. Life (yrs.) 50 40 30 20 10 Line of Best Fit -Points act like magnets attracting the line. Trend is increasing Trend looks linear Scatterplot - a coordinate graph of data points.