Slopes of Parallel and Perpendicular Lines

Slides:



Advertisements
Similar presentations
3.8 Slopes of Parallel and Perpendicular Lines
Advertisements

Parallel and Perpendicular Lines
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
Objective - To write equations of parallel and perpendicular lines. Graph the following on the coordinate plane. x y Parallel lines have the same slope.
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.
7.8 Parallel and Perpendicular Goals: To identify parallel, perpendicular lines and write an equation of a line containing a point and parallel or perpendicular.
Warm Up Solve each equation for y. 1. y – 6x = 92. 4x – 2y = 8 2.9A Parallel and Perpendicular Lines.
CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.
Objective - To write equations of parallel and perpendicular lines.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
8-7: Parallel and Perpendicular Lines Mr. Gallo. Parallel Lines  If two non-vertical lines have the _________ ________, then the lines are ___________.
Slopes of Parallel and Perpendicular Lines Objective: To discover the relationships between the slopes of parallel lines and perpendicular lines.
Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines.
3.6 Finding the Equation of a Line
Geometry: Parallel and Perpendicular Lines
Perpendicular Lines Sec 3.7 Goals: To identify perpendicular lines using slope To write equations of perpendicular lines.
OBJECTIVES: STUDENTS WILL BE ABLE TO… IDENTIFY IF 2 LINES ARE PARALLEL, PERPENDICULAR OR NEITHER GRAPH A LINE PARALLEL OR PERPENDICULAR TO ANOTHER WRITE.
Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.
Date Equations of Parallel and Perpendicular Lines.
 Parallel Lines = Lines in the same plane that never intersect.  Review:  Slope-Intercept form: y = mx+b.
Lesson 5.5 OBJ: To write equations of parallel and perpendicular lines.
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.
Polygons In The Coordinate Plane Chapter 6 Section 7.
Polygons in the Coordinate Plane Techniques Examples Practice Problems.
Drill #20* Find the slope of the line passing through the following points: 1.( 3, 6), ( 7, 9) 2.( -1, -2 ), ( 4, 5 ) 3.( 4, 2 ), ( -2, -5 )
2.2 Slope and Rate of Change, p. 75 x y (x1, y1)(x1, y1) (x2, y2)(x2, y2) run (x2 − x1)(x2 − x1) rise (y2 − y1)(y2 − y1) The Slope of a Line m = y 2 −
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.
12/23/ : Slopes of Lines 1 Expectation: You will calculate slopes of lines parallel and perpendicular to given lines.
Using Your Algebra Skills 3. The two lines at the right are parallel. How do their slopes compare?
Lesson 3-7: Parallel & Perpendicular Lines Objectives Students will: Use equations to determine if two lines are parallel or perpendicular Write an equation.
Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.
Objective: To write equations of parallel and perpendicular lines.
Warm up Recall the slope formula:
3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes.
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
4.5A Find and Use Slopes of Lines. Recall: The slope of a non-vertical line is the ratio of vertical change (rise) to horizontal change (run) between.
Daily Homework Quiz Graph each line. - x 3 2 y = 3– 1. y = 2x2x ANSWER.
CHAPTER 3 Lines in a Plane. Exploring Lines and Planes Parallel lines Perpendicular lines Oblique lines Skew lines Parallel planes Perpendicular planes.
Class Work: Algebra Parallel & Perpendicular Lines You need your notes. Title the notes: Parallel & Perpendicular Lines I will check your work at the end.
WARM UP. Objectives: To determine whether lines are parallel, perpendicular or neither.
3.6 Finding the Equation of a Line
1.5 Writing Equations of Parallel and Perpendicular Lines
4-4 Parallel and Perpendicular Lines
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.
Theorems about Perpendicular Lines
Chapter 1 Linear Equations and Linear Functions.
Slopes of Parallel and Perpendicular Lines
Parallel and Perpendicular Lines 4.4.
Parallel and Perpendicular Lines
How can you use the slope of a line to describe the line?
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Math The Slope of a Line.
Parallel Lines: SLOPES ARE THE SAME!!
Perpendicular Lines in the Coordinate Plane
5-6 Parallel and Perpendicular Lines
5-5 Parallel and Perpendicular Lines
Chapter 1 Linear Equations and Linear Functions.
The Point-Slope Form of the Equation of a Line
4-4 Parallel and Perpendicular Lines
1.5: Parallel and Perpendicular Lines
Find Slope and Rate of Change
3.4 Find and Use Slopes of Lines
Proving a quadrilateral is a RHOMBUS
PERPENDICULAR LINES.
Parallel and Perpendicular Lines
Warm Up Write the Standard Form equation of
3-6 Slopes of Parallel & Perpendicular Lines M11.B A
Presentation transcript:

Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines.

What type of lines do lines “p” and “q” look like? parallel lines p X q

Calculate the slope of each. Y p X q

slope of p = slope of q = = Y p X q

What do you notice about the slopes of these two lines? The slopes are congruent. C-12: Parallel Slope Conj. In a coordinate plane, two lines are _____________if and only if their slopes are ____________. parallel congruent

Are these lines parallel? Y b X NO – Slopes are not  slope a = - slope b = -

Are these lines parallel? Y c d YES – Slopes are  X slope c = slope d = =

C-22 Perpendicular Slope Conjecture: Two nonvertical lines are _____________ if and only if their slopes are perpendicular opposite (or negative) reciprocals of each other.

You will be shown the slopes of two lines You will be shown the slopes of two lines. On the corner of your notes write down whether each pair of lines are parallel, perpendicular, or neither.

slope of line r = slope of line s = These lines are parallel.

2. slope of line t = slope of line u = These lines are perpendicular.

3. slope of line t = slope of line u = These lines are parallel.

4. slope of line t = slope of line u = NEITHER!! Slopes are not congruent or opposite reciprocals of each other.

5. slope of line t = slope of line u = 7 Perpendicular.

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

© 2024 SlidePlayer.com. Inc. All rights reserved.