1. Splash Screen

2. Five-Minute Check (over Lesson 2–3) CCSS Then/Now New Vocabulary
Key Concept: Slope-Intercept Form
Example 1: Write an Equation in Slope-Intercept Form
Key Concept: Point-Slope Form
Example 2: Write an Equation Given Slope and One Point
Example 3: Standardized Test Example
Key Concept: Parallel and Perpendicular Lines
Example 4: Write an Equation of a Perpendicular Line
Lesson Menu

3. Find the rate of change for the data.
A. –22 mi/gal
B. mi/gal
C. mi/gal
D. 22 mi/gal
5-Minute Check 1

4. Find the slope of the line that passes through points (2. 3, 9
Find the slope of the line that passes through points (2.3, 9.5) and (3.8, 20).
A. –7 B.
C. 7 D.
5-Minute Check 2

5. Find the slope of the line that passes through points (3, 5) and (–6, 5).
B. 0
C. 1
D. 3
5-Minute Check 3

6. Determine the rate of change of the graph.B. C.
D. 3
5-Minute Check 4

7. A. 72 cm
B. 108 cm
C. 432 cm
D. 648 cm
5-Minute Check 5

8. Mathematical Practices 2 Reason abstractly and quantitatively.
Content Standards
A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity.
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Mathematical Practices
2 Reason abstractly and quantitatively.
CCSS

9. You determined slopes of lines.
Write an equation of a line given the slope and a point on the line.
Write an equation of a line parallel or perpendicular to a given line.
Then/Now

10. slope-intercept form point-slope form parallel perpendicular
Vocabulary

11. Concept 1

12. • Write an equation in slope-intercept form for the line.
Step 1 Find the slope.
Slope formula
(x1, y1) = (–1, 4), (x2, y2) = (2, 3)
Simplify.
Example 1

13. Step 2 Use the slope and a point to find the y-intercept.
Write an Equation in Slope-Intercept Form
Step 2 Use the slope and a point to find the y-intercept.
Slope-intercept form
Simplify.
The y-intercept is
Example 1

14. Step 3 Substitute the values into the slope-intercept equation.
Write an Equation in Slope-Intercept Form
Step 3 Substitute the values into the slope-intercept equation.
Slope-intercept form
Example 1

15. Write an equation in slope-intercept form for the line.B. C. D.
Example 1

16. Concept 2

17. Point-slope form Simplify. Write an Equation Given Slope and One Point
Example 2

18. Subtract 2 from each side.
Write an Equation Given Slope and One Point
Subtract 2 from each side.
Answer:
Example 2

19. A. B. C. D.
Example 2

20. What is an equation of the line through (2, –3) and (–3, 7)?B C D
Read the Test Item
You are given the coordinates of two points on the line.
Example 3

21. Step 1 Find the slope of the line.
Solve the Test Item
Step 1 Find the slope of the line.
Slope formula
(x1, y1) = (2, –3), (x2,y2) = (–3, 7)
Simplify.
The slope is –2. That eliminates choices B and C.
Example 3

22. Step 2 Write an equation. Use either ordered pair for (x1, y1).
Point-slope form
m = –2; (x1, y1) = (2, –3)
Simplify.
Subtract 3 from each side.
Answer: D
Example 3

23. Which is an equation of the line that passes through (2, 5) and (–1, 3)?B. C. D.
Example 3

24. Concept

25. Write an Equation of a Perpendicular Line
Write an equation in slope-intercept form for the line that passes through (3, –2) and is perpendicular to the line whose equation is y = –5x + 1.
Example 4

26. Distributive Property
Write an Equation of a Perpendicular Line
Point-slope form
Distributive Property
Subtract 2 from each side.
Answer:
Example 4

27. A. B. C. D.
Example 4

28. End of the Lesson