1. Equations Tables and Graphs

2. These are all connected to each other. They all show the same information but in different forms Equation y = 6x + 8 Table x y Ordered pair (x,y) Graph Slope

3. x-3-20123 y Straight Lines When given an equation and told to plot a graph, first find coordinates of points on the line, this is done by completing a table. By substituting the given values for x calculate the y value for the following equation: y = x + 2 -1 01 2 3 4 5 This generates coordinates to plot on a graph (-3,-1) (-2,0) (-1, 1) (0, 2) (1, 3) (2, 4) (3, 5)

4. Straight Lines (-3,-1) (-2,0) (-1, 1) (0, 2) (1, 3) (2, 4) (3, 5) 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 Plotting these points x x x x x x x x We find a straight line

5. Straight Lines Copy and complete this table for the following equation and plot the straight line y = 3x - 1 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 x -3013 y - 10 -4-4 -128 x x x x x

6. Straight Lines 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 Complete the table for the equation y = x x -3013 y x -3013 y x -3013 y x -3013 y Complete the table for the equation y = x - 2 Complete the table for the equation y = x + 3 Complete the table for the equation y = x +1 Plot the coordinates When the table is completed Worksheet 1

7. What do I do if I don’t have the points given to me??? x y y = 2x + 2

8. Graphing Step 1: ~ Five Point Method ~ Choose 5 values for x

9. Graphing Step 2: Find solutions using table y = x + 3 Y | X 0 1 2

10. Graphing Step 3: Graph the points from the table (0,3) (1,4) (2,5)

11. Graphing Step 4: Draw a line to connect them

12. Linear Equations: Equation of a straight line Standard form is AX + BY = C

13. Slope-Intercept y = mx + b m = slope b = y-intercept

14. Slope Describes the steepness of a line or rate of change

15. Y-intercept Where the line crosses the y-axis

16. Y-intercept The y-intercept has an x-coordinate of ZERO

17. Y-intercept To find the y- intercept, plug in ZERO for x and solve

18. X-intercept Where the line crosses the x-axis

19. X-intercept The x-intercept has a y coordinate of ZERO

20. X-intercept To find the x- intercept, plug in ZERO for y and solve

21. Try These Graph using a table (5 point method) 1) y = x + 3 2) y = x - 4

22. X Y Equation:

23. A phone company charges $17.50 per month and 12 c for each additional minute. Write a linear equation for the charge in terms of the number of minutes. Let C = charge in dollars Let m = # of minutes C = 17.50 + 0.12 m ChangeStart Value

24. This chart shows the price of sliced fruit platters. 1) How much would a 6 lb. platter cost? 1.50 $8.10 + 1.50 = $ 9.60 2) Write an equation for the cost of a platter that weighs w lbs. Let p = price of platter p = 1.50 w +0.60 3) How much would a 10 lb. platter cost? p = 1.50 w + 0.60 p = 1.50 ( 10 ) + 0.60 p = 15.00 + 0.60 = $15.60 ChangeStart Value

25. Y = 0.75X + 3 You are visiting Baltimore, MD, and a taxi company charges the flat fee of $3.00 for using the taxi and an additional &0.75 per mile. Write an equation that you could use to find the cost of a taxi ride in Baltimore, MD. Let X represent the number of miles and Y represent the total cost.

26. Kim and Cyndi are starting a business tutoring students in math. They rent an office for $100 per week and charge $40 per hour per student. If they have 15 students each for one hour per week how much profit do they make together in a week? Write and equation.

28. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?