Lesson 5.5 OBJ: To write equations of parallel and perpendicular lines.

Slides:



Advertisements
Similar presentations
Bellringer.
Advertisements

Objective: Use slope-intercept form and standard form to graph equations. 2.4 Quick Graphs of Linear Equations.
Goal: Use slope-intercept form and standard form to graph equations.
Parallel and Perpendicular Lines
A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change
Graphing Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines Objectives: Define parallel lines. Find equations of parallel lines. Define perpendicular lines Find equations of perpendicular.
Perpendicular Lines. ┴ Perpendicular lines are lines that intersect in a right angle. ┴ The slopes of perpendicular lines are negative reciprocals of.
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.
Lesson 6.5 Parallel and Perpendicular Lines
Unit 1 Basics of Geometry Linear Functions.
Parallel & Perpendicular Lines. Parallel and Perpendicular Lines The two lines shown below are parallel (never intersect). Identify the slope of each.
Section 3.1 Parallel and Perpendicular Lines. MAP TAP Parallel and Perpendicular Lines 2 Parallel Lines – lie on same plane and never intersect.
Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.
5.7 Parallel and Perpendicular Lines
Agenda Lesson 5-5 – Parallel and Perpendicular Lines Standards 7.0 Derive linear equations by using the point-slope formula 8.0 Understand the concept.
Parallel and Perpendicular Lines
Bellwork Partner Activity for graphing.
Parallel Lines Lines are parallel if they have the same slope.
y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.
Questions from 1.5 HW???.
Graphing and Writing Equations in Slope-Intercept Form
Writing Linear Equations Group Competition. State the Slope and Y-Intercept #1.
Equations of Lines; Building Linear Functions January 22, 2007.
Write an equation in slope-intercept form: 1. Given slope -6 and y-intercept is Given slope ⅓ and passes through (2,-1) y= -6x + 9 y+1= ⅓(x – 2)
Section 1.1 Slopes and Equations of Lines
Do Now 6/10/10 Take out HW from last night. Take out HW from last night. –Text p. 411, #1-10 all Copy HW in your planner. Copy HW in your planner. –Text.
Day Problems Graph each equation.
Parallel and Perpendicular lines I can write an equation of a line that passes through a given point, either parallel or perpendicular to a given line.
Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.
Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target: Students can prove the slope criteria for parallel and perpendicular.
3.6 Finding the Equation of a Line
3-7 Equations of Lines in the Coordinate Plane
Geometry: Parallel and Perpendicular Lines
4.4 Parallel and Perpendicular Lines Algebra Mr. Knighton.
Notes Over 5.3 Write an equation in slope-intercept form of the line that passes through the points.
Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.
Parallel and Perpendicular Lines Section 6-6. Question What does parallel mean? Are there examples in your life that you see parallel lines? Are there.
 Parallel Lines = Lines in the same plane that never intersect.  Review:  Slope-Intercept form: y = mx+b.
What are the characteristics of Lines in the Plane? Section P4 (new text)
Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.
Do Now 11/30/09 Copy HW in your planner. Copy HW in your planner. –Text p. 322, #8-24 even, 32 & 36 Open your textbook to page 318 and complete the “If-Then.
5.6 Parallel and Perpendicular Lines
2.4 Lines. Slope Find the slope of the line passing through the given points.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.
PARALLEL AND PERPENDICULAR LINES ALGEBRA 2/GEOMETRY HIGH SCHOOL.
2.6 Extension Writing Equations of Parallel and Perpendicular Lines.
Warm-Up 5 minutes 1. Graph the line y = 3x + 4.
Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.
Warm up Recall the slope formula:
I can determine when lines are parallel and write equations of parallel lines.
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
Section 6.6 Parallel and Perpendicular Lines. Definitions Lines that lie in the same plane and never intersect are called parallel lines. All vertical.
EXAMPLE 2 Determine whether lines are parallel or perpendicular Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:
Drill #23 Determine the value of r so that a line through the points has the given slope: 1. ( r , -1 ) , ( 2 , r ) m = 2 Identify the three forms (Point.
Geometry: Chapter and 3.7: Writing equations for Parallel and Perpendicular Lines.
2-3C Parallel and Perpendicular Lines 2-3C Parallel and Perpendicular Lines Objectives: How do you know if slopes are parallel or perpendicular? What are.
Warm Up The warm up worksheet is on the podium. Do the odds only. Answers will be up shortly. DO NOT LOSE THIS WORKSHEET!!! After the warm up, begin the.
Lesson 2 Notes - Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel Lines: SLOPES ARE THE SAME!!
5-6 Parallel and Perpendicular Lines
The Point-Slope Form of the Equation of a Line
1.5: Parallel and Perpendicular Lines
Warm-Up 1.) Using the point slope formula find the equation of a line with slope -2 , passing through the point (1, 3) 2.) Graph the line y = 3x + 4.
Presentation transcript:

Lesson 5.5 OBJ: To write equations of parallel and perpendicular lines.

Parallel Lines If two non-vertical lines in the same plane have the same slope, then they are parallel. If two non-vertical lines in the same plane are parallel, then they have the same slope.

Example Write an equation of the lines that passes through point (-2, 11) and is parallel to the line y = -x + 5. Identify the slope. Find the y-intercept. Write the equation in slope-intercept form.

Example Write an equation of the line that passes through (-3, 3) and is parallel to the line y = -2x + 1 You may also use the point slope form of the equation.

Perpendicular Lines Two lines in the same plane that intersect to form a right angle. If two non-vertical lines in the same plane have slopes that are negative reciprocals, then the lines are perpendicular. If two non-vertical lines in the same plane are perpendicular, then their slopes are negative reciprocals.

Examples Write an equation of the line that passes through (4, 3) and is perpendicular to the line y = 4x – 7. Write an equation of the line that passes through (4, -2) and is perpendicular to the line y = 4x +2.

Determine which lines, if any, are parallel or perpendicular. Line a: 2x + 6y = -3 Line b: y = 3x – 8 Line c: -1.5y + 4.5x = 6

Homework Text p , #’s 1, 2, 4-26 evens, 28, 29

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.