1. Rectangular Coordinates; Introduction to Graphing Equations
Section 1.1
Rectangular Coordinates;
Graphing Utilities;
Introduction to Graphing Equations

2. Rectangular or Cartesian Coordinate System
y axis
x axis
origin
Rectangular or Cartesian Coordinate System

3. Let's plot the point (-3,-5) Let's plot the point (0,7)
(6,4)
(-6,0)
(-3,-5)
Let's plot the point (-3,-5)
Let's plot the point (0,7)

4. Quadrant II x < 0, y > 0 Quadrant I x > 0, y > 0
Quadrant III x < 0, y < 0
Quadrant IV x > 0, y < 0

8. Find the coordinates of the point shown
Find the coordinates of the point shown. Assume the coordinates are integers.
(-2, 2)

9. OBJECTIVE 1

10. Find the distance d between the points P1(2, 5) and P2(4, 8)

13. Find the length of the line segment shown.

14. A = (– 4, – 1), B = (1, 11), and C = (1, – 1)

17. OBJECTIVE 2

20. Find the midpoint of a line segment from P1 = (3, -5) to P2 = (1, 7)
Find the midpoint of a line segment from P1 = (3, -5) to P2 = (1, 7). Plot the points P1 and P2 and their midpoint.

21. OBJECTIVE 3

22. Equations in Two Variables
2x +y = 6
x2 + y2 = 16
y = x2
y = x3 _ 2x2 _ 5x +5

24. Determine if the following points are on the graph of the equation - 3x + y = 6
(b) (2, 0)
(c) (-1, 3)

27. OBJECTIVE 4

29. Solve for y: – 6x + 2y + 3 = – 1

31. OBJECTIVE 5

33. OBJECTIVE 6

35. .

36. OBJECTIVE 7