Perpendicular Lines in the Coordinate Plane

Slides:



Advertisements
Similar presentations
3.7 Perpendicular Lines in the Coordinate Plane 1 GOAL
Advertisements

3.7 Perpendicular Lines in the Coordinate Plane Geometry Mrs. Spitz Fall 2005.
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.
3.7 Perpendicular Lines in the Coordinate Plane. Postulate 18 “Slopes of Perpendicular Lines” In a coordinate plane, 2 non-vertical lines are perpendicular.
Chapter 3 Lines and Angles. Chapter 3: Lines and Angles Essential Questions: What are the characteristics of parallel and perpendicular lines that can.
Geometry 3.4 Big Idea: Find the Slope of a Line. Determine if lines are parallel or perpendicular.
Section 1.1 Slopes and Equations of Lines
Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.
Perpendicular Lines Sec 3.7 Goals: To identify perpendicular lines using slope To write equations of perpendicular lines.
WARM UP RATIOS Convert the units. (Lesson 3.8) 1.5 days to hours 2.36 inches to feet 3.12 years to months 3.
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.
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 −
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
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.
Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.4, Slide 1 Chapter 1 Linear Equations and Linear Functions.
Slope of Parallel Lines The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run). If the line.
Writing Equations of Parallel Lines (IN REVIEW) You can use the slope m of a nonvertical line to write an equation of the line in slope-intercept form.
Slope of a Line 11-2 Warm Up Problem of the Day Lesson Presentation
Write Equations of Parallel and Perpendicular Lines
3.4 Find and Use Slopes of Lines
1.5 Writing Equations 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.
Warm Up Use the figure below to answer each question
3.3: Point-Slope Form.
Lesson 1-3 Formulas Lesson 1-3: Formulas.
Slopes of Parallel and Perpendicular Lines
Parallel and Perpendicular Lines in the Coordinate Plane
Mrs. Rivas
3.6 Parallel Lines in a Coordinate Plane
WARM UP Determine the constant rate of change and determine if it linear or not?
Warm up #5.
Math The Slope of a Line.
Slope of parallel and perpendicular lines postulate
Algebra 1 Review Linear Equations
Slope of a Line Add theorems on parallel/perpendicular (3-5) and add equations for horizontal and vertical lines and their slopes (3-6), parallel lines,
MATH 1310 Session 1.
Perpendicular Lines in the Coordinate Plane
Parallel & Perpendicular Lines in the Coordinate Plane
3-6 Parallel Lines in the Coordinate Plane
5-5 Parallel and Perpendicular Lines
Section 3-7 Equations of Lines in the Coordinate Plane
MATH 1310 Section 1.1.
EXAMPLE 1 Find slopes of lines in a coordinate plane
Parallel Lines in Coordinate Plane
3.6 Parallel Lines in the Coordinate Plane
Graphing Linear Equations
Warm Up #6 Evaluate each expression for the given value of x.
The Point-Slope Form of the Equation of a Line
Slopes of Parallel and Perpendicular Lines
MATH 1310 Section 1.1.
Using Properties of Parallel Lines
Chapter 2: Transformations
1.5: Parallel and Perpendicular Lines
Section 3.3 The Slope of a Line.
3.4 Find and Use Slopes of Lines
MATH 1310 Section 1.1.
Perpendicular and Parallel Lines
Graph lines given their equation. Write equations of lines.
3.6 Parallel Lines in the Coordinate Plane
Section 4.5 The Slope of a Line Goal: Find the slope of a line.
3.7 Perpendicular Lines in the Coordinate Plane
3-3 Slopes of Lines Objectives: To find the slopes of lines.
Warm Up Write the Standard Form equation of
WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.
Presentation transcript:

Perpendicular Lines in the Coordinate Plane Chapter 3 Section 3.7 Perpendicular Lines in the Coordinate Plane

Warm-Up Line m is perpendicular to line n. If line m has a positive slope, what kind of slope does line n have? A negative slope Find the slope of the line that passes through the points (5, 6) and (-9, 0). (0-6)/(-9-5) = -6/-14 = 3/7

How Are Perpendicular Lines Related? Postulate 18: The product of their slopes is –1. Vertical and horizontal lines are perpendicular Determine if the lines are perpendicular The product of the slopes = -1, thus

The Slopes of Two Lines Are Given. Are They Perpendicular? Lines are not  Lines are 

Decide Whether p1 and p2 are Perpendicular p1 is not  to p2

Decide Whether p1 or p2 Are Perpendicular Yes, p1  p2