1. Name: Date: Period: Topic : Slope-Intercept Form Essential Question: What can be used to write and graph the equation of a line? Find the slope of each line: 1. (8,  4), (  6,  3) 2. Find the slope of the line that passes through each pair of points.

2. Important!!! This is one of the big concepts in Algebra 1. You need to thoroughly understand this! Vocabulary: Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept y-intercept = is the y-coordinate of a point where the graph crosses the y-axis

3. Writing Equations When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

4. Writing Equations – Type #1 Write an equation in slope-intercept form of the line that has a slope of 2 and a y-intercept of 6. To write an equation, you need two things: 2 6 slope (m) = y – intercept (b) = We have both!! Plug them into slope-intercept form y = mx + b y = 2x + 6

5. 1. Write the equation of a line that has a y- intercept of -3 and a slope of -4. A) y = -3x – 4 B) y = -4x – 3 C) y = -3x + 4 D) y = -4x + 3

6. Identify the slope and y-intercept: y = 3x – 7 y = x y = 5 How can I graph these problems???

7. Writing Equations – Type #2 Write an equation of the line that has a slope of 3 and goes through the point (2,1). To write an equation, you need two things: 3 ??? We have to find the y-intercept!! Plug in the slope and ordered pair into y = mx + b slope (m) = y – intercept (b) = 1 = 3(2) + b

8. Writing Equations (2, 1) Slope 3 1 = 3(2) + b

9. 2. Write an equation using the following information: (-4, -7) slope 2

10. Writing Equations – Type #3 Write an equation of the line that goes through the points (1, -2) and (2, 4). To write an equation, you need two things: ??? slope (m) = y – intercept (b) =

11. 3. Write an equation of the line that goes through the points (0, 1) and (1, 4). 1.y = 3x + 4 2.y = 3x + 1 3.y = -3x + 4 4.y = -3x + 1

12. Write an equation in slope- intercept form:

13. Practice Time! Four Corners

14. A)y = -2x + 5 C) y = 5x + 2 B) y = 2x – 5 D) y = 5x – 2 Write an equation in slope-intercept form of the line that has a slope of 5 and a y-intercept of -2.

15. Identify the y-intercept: y = 7 A)7 C) 0 B)Undefined D) 1

16. A)8x C) 8 B)0 D) 1 Identify the slope: y = 8x

17. The y-intercept for the graph below is: A) 2 C) 2/1 B) 1 D) 0

18. A)y = 6x – 23 C) y = 1/6x – 2 B)y = 6x – 2 D) y = x +4 Write an equation of the line that goes through the points (0, -2) and (1, 4).

19. What about an equation like this? 5x - 3y = 6 What is the slope? What is the y-intercept?

20. Find the slope and y-intercept: 5x - 3y = 6 Write it in slope-intercept form. (y = mx + b)

21. Find the slope and y-intercept: 5) 2y + 2 = 4x

22. Independent Practice Time!!! Page 310-311 (26, 32, 38, 54, 64)

23. Word Problem Challenge: A carpenter charges a $45 fee plus $30 per hour for labor. Write an equation to model the total cost of a job. What graph models the total cost?

24. Hands-on Activity: Competition Time Matching: Slope-Intercept Form & GraphMatching: Slope-Intercept Form & Graph

25. Wrap-Up: Vocabulary Review! Reminder: - Complete your summary - Study your notes HLA #3: Slope-Intercept Form Page 310-311 (12, 20, 24, 28, 30, 40, 42, 52, 62, 63)