1. Warm-Up: November 5, 2014
Write a point-tester equation for the line that passes through the point (6, 5) with a slope of 2/3.

2. Homework Questions?

3. Linear Equations and Graphs
Investigation 4A
Advanced Integrated Math I

4. Essential Question
How can we write the equation of a line?

5. Lines The slope between any two points on a line is constant.
The slope of a line is the slope between any two points on the line.
You can write the equation of a line if you know its slope and any point on the line.

6. Example 1
Write the equation of the line that passes through (3, 7) and (-2, 4).

7. You-Try #1
Write the equation of the line that passes through (-1, 4) and (3, 12).

8. Parallel Lines
Lines are parallel if they have the same slope but do not overlap.

9. Assignment
Read pages
Page 282 #8-10, 13, 14

10. Page 282

12. Warm-Up: November 6, 2014
Graph

13. Homework Questions?

14. Essential Questions What is the fastest/easiest way to graph a line?
How can we determine the slope of a line from its equation?

15. Graphing Lines Two points determine a line.
Find any two points, plot them, then draw a line through them.

16. Intercepts
The point where the line crosses the x-axis is called the x-intercept.
Substitute 0 for y and solve for x.
The point where the line crosses the y-axis is called the y-intercept.
Substitute 0 for x and solve for y.

17. You-Try
Find the x-intercept and y-intercept, then graph

18. Forms of an Equation Point-Slope Form Slope-Intercept Form
Plug in slope for m and point coordinates for x1 and y1
Slope-Intercept Form
The slope is m and the y-intercept is b
Standard Form
Slope is –A/B

19. You-Try
A line has slope ½ and passes through the point (6.8, 3.5). Write the equation of the line in both point-slope form and slope-intercept form.

20. Assignment
Read pages
Page 286 #5-8, 17-19, 28-31, 41-45

21. Page 286

23. Warm-Up: November 7, 2014
Stanley leaves his house at 8:00 AM. He rides his bike to the park at a constant 15 ft/s. Johnny, Stanley’s older brother, leaves 10 minutes after Stanley, and rides his bike at a constant 20 ft/s along the same road to the same park.
How far has each boy traveled at 8:20?
How far has each boy traveled at 8:45?
How can you find the exact time that Johnny catches up with Stanley?

24. 8:20
8:45
exact time
Warm-Up

25. Classwork (with partner)
Page 292 #1-3 (front page of handout)
Be prepared to share your answers with the class.

26. Page 292 #1 Answers Yakov 2 s 40 ft Yakov: 20 ft/s, Demitri: 10 ft/s
y=20x
y=10x+20
20x=10x+20; x=2

27. Page 292 #2 Answers They run at the same speed
Yakov never overtakes Demitri
20 ft/s (both)
y=20x
y=20x+20

28. Page 292 #3 Answers Yakov starts ahead and stays ahead
No, the graphs keep getting further apart, and do not continue to the left of t=0
(-2, -20) if they did continue No

29. Assignments
Read pages
Page 293 #4-12
Page 294 #1-8

31. Warm-Up: November 10, 2014

32. Classwork
You have the remainder of class to work with your partner on the assignments due this week.
Use the packet you received on Friday.