1. Agenda 10/4 Grade 3.3 homework Section 3.4 notes
**Homework: Assignment 3.4 in workbook**

2. AB Agenda 10/4 Grade 3.3 homework Section 3.4 notes Edgenuity
**Homework: Assignment 3.4 in workbook**

3. 3.4 Notes: Equations of Lines
How can you write an equation of a line that is parallel or perpendicular to a given line and passes through a given point?

4. Vocab! 𝑚= slope and 𝑏= y-intercept 𝑦− 𝑦 1 =𝑚 𝑥− 𝑥 1  
Slope-Intercept Form
 𝑦=𝑚𝑥+𝑏
𝑚= slope and 𝑏= y-intercept
Point-Slope Form
 𝑦− 𝑦 1 =𝑚 𝑥− 𝑥 1
Where 𝑥 1 , 𝑦 1 is a point and 𝑚= the slope

5. Example 2
a) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line.

6. Example 2 cont.
b) Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4.

7. Example 3
a) Write an equation in point-slope form of the line whose slope is − 3 5 that contains (–10, 8). Then graph the line.
b) Write an equation in point-slope form of the
line whose slope is that contains (6, –3).

8. You Try!
1. Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0).

9. You Try!
2. Write an equation in slope-intercept form for a line containing (–3, –7) and (–1, 3).

10. You Try!
3. Write an equation of the line through (5, –2) and (0, –2) in slope-intercept form.

11. Horizontal Line
𝑦=𝑏 where 𝑏 is the y-intercept

12. Vertical Line
x=𝑎 where 𝑎 is the x-intercept

13. Steps in writing a line PERPENDICULAR to a given line through a point
Find the perpendicular slope from the original equation
Write the equation in slope-intercept form
Find b using given point
Write new equation with perpendicular slope and b

14. Example 5
a) Write an equation in slope-intercept form for a line perpendicular to the line 𝑦= 1 5 𝑥+2 through (2, 0).

15. Example 5 cont.
b) Write an equation in slope-intercept form for a line perpendicular to the line 𝑦= 1 3 𝑥+2 through (0, 8).

16. You Try!
Write the equation in slope intercept form of the line parallel and line perpendicular to given line through given point. Parallel Perpendicular 1) y = 4x + 7 (─2, ─9) ____________________ __________________ 2) 2x ─ 5y = 10 (3, ─7) _____________________ _________________

17. You Try! State if the lines are Parallel, Perpendicular, or Neither
3) 6x ─ 12y = ) 4x + y = 5 5) ─2x + 7y = 14
4x + 2y = x +12y = ─ x = 14y

18. **Homework: equations of lines worksheet**
Geometry AB Agenda 10/5
Foldable warm up
Equations of lines activity
Brain break
Work on homework
**Homework: equations of lines worksheet**

19. **Homework: equations of lines worksheet**
Geometry Agenda 10/5
Equations of lines activity
Work on homework
**Homework: equations of lines worksheet**