Section 3-6 Slope of Parallel and Perpendicular Lines SPI 22A: determine the equation of a line parallel or perpendicular to a given Objectives: Relate.

Slides:



Advertisements
Similar presentations
Bellringer.
Advertisements

3.8 Slopes of Parallel and Perpendicular Lines
3.8 Slopes of Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel & Perpendicular Lines
Point-Slope Form Use point-slope form to write the equation of a line. 2.Write the equation of a line parallel to a given line. 3.Write the equation.
Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.
Lesson 6.5 Parallel and Perpendicular Lines
Unit 1 Basics of Geometry Linear Functions.
4.4 Parallel and Perpendicular Lines
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
3.8 Slopes 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.
Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals.
8-7: Parallel and Perpendicular Lines Mr. Gallo. Parallel Lines  If two non-vertical lines have the _________ ________, then the lines are ___________.
2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
1.3 Linear Equations in Two Variables Objectives: Write a linear equation in two variables given sufficient information. Write an equation for a line.
Slopes of Equations and Lines Honors Geometry Chapter 2 Nancy Powell, 2007.
Section 1.1 Slopes and Equations of Lines
Day Problems Graph each equation.
3-7 Equations of Lines in the Coordinate Plane
Geometry: Parallel and Perpendicular Lines
Parallel, Perpendicular, Horizontal, and Vertical Lines
Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.
Section 6.6 What we are Learning:
For the line that passes through points (-4, 3) and (-2, 4).
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
What are the characteristics of Lines in the Plane? Section P4 (new text)
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
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.
Slope and Parallel Lines Sections 4.5 & 4.6. Definitions A plane is a surface such that if any two points on the surface are connected by a line, all.
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.
2.6 Extension Writing Equations of Parallel and Perpendicular Lines.
Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.
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.
Section 6.6 Parallel and Perpendicular Lines. Definitions Lines that lie in the same plane and never intersect are called parallel lines. All vertical.
Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.
CHAPTER 3 Lines in a Plane. Exploring Lines and Planes Parallel lines Perpendicular lines Oblique lines Skew lines Parallel planes Perpendicular planes.
P.2 Linear Models & Rates of Change 1.Find the slope of a line passing thru 2 points. 2.Write the equation of a line with a given point and slope. 3.Interpret.
3.8 Slopes of 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.
Parallel and Perpendicular Lines 4.4.
Parallel and Perpendicular Lines
4.7 Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Day 7 – Parallel and Perpendicular lines
Parallel Lines: SLOPES ARE THE SAME!!
2.5 Linear Equations.
5-6 Parallel and Perpendicular Lines
5-5 Parallel and Perpendicular Lines
3-5 & 3-6 Lines in the Coordinate Plane & Slopes of Parallel and Perpendicular Lines.
Section 1.2 Straight Lines.
1.6 Lines.
The Point-Slope Form of the Equation of a Line
Section 3-8 Slopes of Parallel and Perpendicular Lines
Chapter 1 Graphs.
1.6 Lines.
1.5: Parallel and Perpendicular Lines
3.4 Find and Use Slopes of Lines
5.4 Finding Linear Equations
Parallel and Perpendicular Lines
3.8 Slopes of Parallel and Perpendicular Lines
6-6 Parallel and Perpendicular Lines
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.
3-6 Slopes of Parallel & Perpendicular Lines M11.B A
Presentation transcript:

Section 3-6 Slope of Parallel and Perpendicular Lines SPI 22A: determine the equation of a line parallel or perpendicular to a given Objectives: Relate slope to parallel and perpendicular lines Parallel lines: coplanar lines that do not intersect Perpendicular lines: lines that intersect and form a right angle

Slopes of Parallel Lines (Definition) If two non-vertical lines are parallel, then their slopes are equal. If the slopes of two distinct non-vertical lines are equal, then the lines are parallel. Any 2 vertical lines are parallel.

Checking for Parallel Lines Slope of Line 1: Slope of Line 2:

Slopes of Parallel Lines Line a contains A(-4, 2) and B(3, 1). Line b contains C(-4, 0) and D(8, -2). Are lines a and b parallel? Explain. The slope of a = -1/7 and the slope of b = -1/6.

Given two Equations, Determine if the lines are Parallel What is the slope of 4y – 12x = 20? Are the lines 4y – 12x = 20 and y = 3x – 1 parallel? Explain. 1. Change equation to slope- intercept form. 4y – 12x = 20 Given + 12x + 12x APE 4y = 12x + 20 DPE y = 3x The slope is 3. What is the slope of y = 3x – 1? The slope is 3. By Definition: The lines have the same slope. They are 2 distinct lines, since they have different y intercepts. Therefore, they are parallel.

Writing Equations of Parallel Lines Write an equation for the line parallel to y = - 4x + 3 that contains (1, -2). What is the slope of the equation y = - 4x + 3? - 4 What will be the slope of the equation containing coordinate (1, -2)? - 4 Which form of an equation will you use to write an equation given the slope and one point? Point-slope form

Slopes of Perpendicular Lines (Definition) If two non-vertical lines are perpendicular, then the product of their slopes is -1. If the slopes of two lines have a product of -1, the lines are perpendicular. Any horizontal line and vertical line are perpendicular.

Checking for Perpendicular Lines 1. If one line is vertical and the other horizontal, then they are perpendicular. 2. If the product of the slopes are -1, then they are .

Practice: Check for Perpendicular lines

Writing Equations for Perpendicular lines Write an equation for the line perpendicular to y = - 3x – 5, that contains (- 3, 7). 1. Write what you know, given the first equation. y = - 3x – 5; Slope is Find the slope of the line perpendicular to the given line. Think> What is the relationship between the 2 slopes? The slope of the perpendicular line is the opposite reciprocal of the slope of the other line. Slope is 1/3. 3. Use point-slope form to write an equation.

Real-World Connection

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

© 2024 SlidePlayer.com Inc. All rights reserved.