Agenda 10/4 Grade 3.3 homework Section 3.4 notes **Homework: Assignment 3.4 in workbook**
AB Agenda 10/4 Grade 3.3 homework Section 3.4 notes Edgenuity **Homework: Assignment 3.4 in workbook**
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?
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
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.
Example 2 cont. b) Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4.
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 1 3 that contains (6, –3).
You Try! 1. Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0).
You Try! 2. Write an equation in slope-intercept form for a line containing (–3, –7) and (–1, 3).
You Try! 3. Write an equation of the line through (5, –2) and (0, –2) in slope-intercept form.
Horizontal Line 𝑦=𝑏 where 𝑏 is the y-intercept
Vertical Line x=𝑎 where 𝑎 is the x-intercept
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
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).
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).
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) _____________________ _________________
You Try! State if the lines are Parallel, Perpendicular, or Neither 3) 6x ─ 12y = 24 4) 4x + y = 5 5) ─2x + 7y = 14 4x + 2y = 8 3x +12y = ─6 4x = 14y
**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**
**Homework: equations of lines worksheet** Geometry Agenda 10/5 Equations of lines activity Work on homework **Homework: equations of lines worksheet**