1. Warm up 8/24 Solve each equation for y. 1. 7x + 2y = 6 2.
3. If 3x = 4y + 12, find y when x = 0.
4. If a line passes through (–5, 0) and (0, 2), then it passes through all but which quadrant.
y = –2x – 8
y = –3 IV

2. Agenda: Warmup Go over hw p. 94 & 100 Note 2.3 & 2.4 notes
Be seated before the bell rings
DESK
Warm-up (in your notes)
Agenda:
Warmup
Go over hw p. 94 & 100
Note 2.3 & 2.4 notes
homework
Quiz – Tuesday 8/12
Tomorrow

3. Don’t forget test retakes

4. Notebook 7) 2.3 & 2.4 Table of content 2.3 Graph linear function/1
Table of content
2.3 Graph linear function/
2.4 Writing linear functions
Page
1) 1-1 Sets of Numbers /1.2 Properties of Numbers 1
2) 1-3 Square Roots
3) 1-4 Simplify Algebra Expression
4) 1.6 Relations/1.7 functions
5) 1.9 Parent Functions
6) 2.1 Linear Equations/
2.2 Proportions
7) 2.3 & 2.4

5. 2.3 Graph & (2.4) write linear functions
Learning targets
2.3: I can graph linear equations using slope and a point
2.3: I can graph linear equations using intercepts
2.3: I can graph linear equations in slope-intercept form
2.4: I can write the equation of a line in slope intercept form
2.4: I can write the equation of parallel and perpendicular lines in slope-intercept form

6. Write down as many word as you can about linear functions.
2.3 Graph & (2.4) write linear functions
How much do you know
Write down as many word as you can about linear functions.
______________

7. 2.3 Graph & (2.4) write linear functions
Functions 𝟏, 𝟐, and 𝟑 have the tables shown below. Examine each of them, make a conjecture about which will be linear, and justify your claim.

8. 2.3 Graph & (2.4) write linear functions+2 –1 +2 –1 +2 –1
A linear function has a constant rate of change x –2 2 4
f(x) 1 –1
constant rate of change
= Slope (m)

9. Graphing Linear Functions
3 ways to graph:
With y-intercept and slope
With a point and a slope
With x and y-intercepts

10. 1st way
Slope-Intercept Form:
y=mx+b
Example: y=-3/4x+3

11. 2nd Way
Point & Slope:
has a slope m and passes through the point (x,y)
Example: slope of 3/2 and goes through (2,2)

12. 3rd way Intercepts: Find the intercepts and graph.
Example: y=-x+2
y-intercept:
y=-(0)+2 y=2
x-intercept:
(0)=-x+2 2=x
Intercepts:
Find the intercepts and graph.
To find y-intercept: plug in 0 for x
To find x-intercept: plug in 0 for y

13. Vertical Lines Horizontal Lines.

14. 2.4 Writing equations Use: y=mx+b or y-y1= m(x-x1)b Slope (m)
y-intercept
Point (x1, y1)b

15. Writing equations

16. Find equation of line given two points (–1, 1) and (2, –5).

17. You try!
Find equation of line given two points (–2, 2) and (2, –4) in point slope form.

18. Parallel and Perpendicular Lines

19. OUT S l o p e the same Parallel Lines have ___ ___ ____
___ ___ ____
___ ___ ____ ______
S l o p e
the same

20. OUT S l o p e Perpendicular Lines have Negative Reciprocals
___ ___ ___ ___ ___ ___ ___ ___ ____ ___ _____
S l o p e
Negative Reciprocals

21. Parallel and perpendicular lines
Same slope
Opposite reciprocal

22. Parallel Line: Have the same slopes
Perpendicular Line:
Perpendicular Line: Have negative reciprocal slopes
negative reciprocal

23. Parallel Lines Rewrite in y = mx+ b -2x -2x 4y = -2x +9 4 4 4
Are the two lines Parallel or Perpendicular?
y= m x + b
slope
Rewrite in y = mx+ b
-2x x
4y = -2x +9
Parallel Lines

24. Neither Lines Rewrite in y = mx+ b -4 -4 X - 4 = -5y -5 -5 -5
Are the two lines Parallel or Perpendicular?
y= m x + b
slope
Rewrite in y = mx+ b
X = -5y
Neither Lines

25. Perpendicular Lines Are the two lines Parallel or Perpendicular?
y= m x + b
slope
Perpendicular Lines

26. Write the equation of Parallel line in the form y= m x + b
Example 1:
Write the equation of a line that is parallel to y = -4x + 3 that contains P(1,-2). -4
P(1,-2)
Step 1:
Step 1: Find slope and a point
Step 2:
Step 2: Substitute slope and the point into the point-slope form equation. -2 -4 1
Step 3: Rewrite in y = mx + b form.
Step 3:

27. Perpendicular Lines in the form y= m x + b
Example 1:
Write the equation of a line that is perpendicular to to y = -3x -5 that contains P(-3,7). 3
P(-3,7)
Steps1: Find slope and a point
Steps1: 1 m=
Steps2:
Steps2: Substitute slope and the point into the point-slope form equation. 7
1/3 -3
Steps3: Rewrite in y = mx + b form.
Steps3:

29. Write the equation of the line in slope-intercept form.
You try! Example
Write the equation of the line in slope-intercept form.
parallel to y = 5x – 3 and through (1, 4)
m = 5
Parallel lines have equal slopes.
y – 4 = 5(x – 1)
Use y – y1 = m(x – x1) with (x1, y1) = (5, 2).
y – 4 = 5x – 5
Distributive property.
y = 5x – 1
Simplify.

30. Write the equation of the line in slope-intercept form.
You try
Write the equation of the line in slope-intercept form.
perpendicular to and through (0, –2)
The slope of the given line is , so the slope of
the perpendicular, line is the opposite reciprocal .
Use y – y1 = m(x – x1). y + 2 is equivalent to y – (–2).
Distributive property.
Simplify.

31. Summarize: In 10 words are less summarize the what you learned.
Shared with your group which concept today will most likely appear on the test.