1. INTERPRET LINEAR GRAPHS & WRITE LINEAR EQUATIONS SECTION 5.4C

2. You can use a table of values for a linear equation to get information about that equation. Example1: A. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Without graphing the points write an equation for the function. Time in hours, X Rental cost in dollars, Y 112 216 320 424 528 632 736 840

3. Time in hours, X Rental cost in dollars, Y 112 216 320 424 528 632 736 840 Find the slope: +4+1 Find the y-intercept: Use m, x, and y to find b. Pick ANY point from the table.

4. Time in hours, X Rental cost in dollars, Y 112 216 320 424 528 632 736 840 Find the slope: +4+1 Find the y-intercept: Use m, x, and y to find b. Pick ANY point from the table.

5. Time in hours, X Rental cost in dollars, Y 112 216 320 424 528 632 736 840 +4+1 Pick ANY point from the table.

6. The water in a river was a certain level before it started to recede at a constant rate. The table below shows the water level after a certain number of days. Without graphing the points write an equation for the function. In how many days will the water level be 26 feet? Time in days, x Water level in feet, y 233 432 631 830 1029

7. Time in days, x Water level in feet, y 233 432 631 830 1029 Find the slope: +2 Pick ANY point from the table. Without graphing the points write an equation for the function.

8. The water in a river was a certain level before it started to recede at a constant rate. The table below shows the water level after a certain number of days. Without graphing the points write an equation for the function. In how many days will the water level be 26 feet? Time in days, x Water level in feet, y 233 432 631 830 1029 If y = 26 feet, what is x? 16 days

9. C. Kim, a skater, pays an initial fee for membership at the rink, plus a certain amount per hour that she practices. A graph shows that after 3 hours of skating the total cost is $57. It also shows that after 5 hours of skating the total cost is $65. Write an equation to model this situation. Time in hours, x Total cost in dollars, y 357 565 +8+2 Pick ANY point from the table.

10. Quite often you will be given two points on a line and asked to write the linear equation. 1. Find the slope. 2. Substitute the values for the slope and x and y. 3. Find the value of the y-intercept. 4. Write your equation in slope intercept form.

11. Example 2: Write an equation in slope-intercept form for the line containing the two points. A. Pick EITHER point for x and y.

12. Example 2: Write an equation in slope-intercept form for the line containing the two points. B. Pick EITHER point for x and y.

13. Example 2: Write an equation in slope-intercept form for the line containing the two points. C. Pick EITHER point for x and y.

14. Example 2: Write an equation in slope-intercept form for the line containing the two points. D. Pick EITHER point for x and y.

15. Example 2: Write an equation in slope-intercept form for the line containing the two points. E. Pick EITHER point for x and y.