1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. MATH 108 Section 2.1-2.2 Coordinate Plane and Graphs

2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. x axis y axis origin Rectangular/ Cartesian Coordinate System/ Plane

3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Let's plot the point (6,4) (-3,-5) (0,7) Let's plot the point (-6,0) (6,4) (-6,0) Let's plot the point (-3,-5)Let's plot the point (0,7)

4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadrant I x > 0, y > 0 Quadrant II x 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

5. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

6. Find the distance d between the points (2, - 4) and ( -1, 3).

7. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

9. Find the midpoint of the line segment from P 1 = (4, -2) to P 2 = (2, -5). Plot the points and their midpoint.

10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.2 Graphs of Equations

11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

12. Find the slope m and y-intercept b of the equation -12x + 3y = 6. Graph the equation. Find the slope m and y-intercept b of the equation - -x + 4y + 5 = 3. Graph the equation.

13. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 13 © 2010 Pearson Education, Inc. All rights reserved Definitions Any point where a graph intersects the x-axis has the form (a, 0). The number a is called an x-intercept of the graph. y = 0 Similarly, any point where a graph intersects the y-axis has the form (0, b), and the number b is called a y-intercept of the graph. x = 0

14. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. PROCEDURE FOR FINDING THE INTERCEPTS OF A GRAPH Step 1To find the x-intercepts of an equation, set y = 0 in the equation and solve for x. Step 2To find the y-intercepts of an equation, set x = 0 in the equation and solve for y. 14 © 2010 Pearson Education, Inc. All rights reserved

15. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Graph the linear equation 3x + 2y = 6 by finding its intercepts.

16. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

19. Write the standard form of the equation of the circle with radius 4 and center (2, -4).

20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

23. Change from general form to standard form (by completing the square): x 2 + y 2 – 8x + 4y – 5 = 0 x 2 + y 2 + 2x + 6y – 26 = 0