Perpendicular Lines a) Work out the gradient of the line AB

Slides:



Advertisements
Similar presentations
Parallel & Perpendicular Slopes II
Advertisements

Co-Ordinate Geometry Maths Studies.
2.4 Write Equations of Lines
Warden 2006 To find the gradient of lines perpendicular to each other.
Perpendicular Lines a) Work out the gradient of the line AB b) Draw a line which is perpendicular to the line AB. c) Hence work out the gradient of the.
C1: Parallel and Perpendicular Lines
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
Straight Line Higher Maths. The Straight Line Straight line 1 – basic examples Straight line 2 – more basic examplesStraight line 4 – more on medians,
The Straight Line All straight lines have an equation of the form m = gradienty axis intercept C C + ve gradient - ve gradient.
Perpendicular Lines. What is to be learned? The rule connecting gradients and perpendicular lines.
10.2 Perpendicular Lines.
Parallel and Perpendicular Lines Practice
Question: Find the equation of a line that is parallel to the equation: 3x + 2y = 18.
Discuss the keywords in question Has the same gradient as…
Given three points of a circle: (-1,1), (7,-3), (-2,-6).
Unit 1 revision Q 1 What is the perpendicular bisector of a line ?
Equation of Straight Line
C1: The Equation of a Straight Line, lesson 2
Straight Lines Objectives: B GradeExplore the gradients of parallel straight line graphs A GradeExplore the gradients of perpendicular straight line graphs.
Coordinate Geometry Learning Outcomes
Co-ordinate Geometry. What are the equations of these lines. Write in the form ax + by + c = 0 1)Passes though (2,5) and gradient 6 2)Passes through (-3,2)
Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.
Perpendicular lines Investigate the relationship between the gradients of perpendicular lines. What process would you suggest? Set up a table of values.
MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS EXERCISE GRADIENT OF PARALLEL.
COORDINATE GEOMETRY Summary. Distance between two points. In general, x1x1 x2x2 y1y1 y2y2 A(x 1,y 1 ) B(x 2,y 2 ) Length = x 2 – x 1 Length = y 2 – y.
Parallel lines Lines that are parallel have the same slope or gradient x y m1m1 m2m2  m 1 = m 2.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.
Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )
Next Quit Find the equation of the line which passes through the point (-1, 3) and is perpendicular to the line with equation Find gradient of given line:
SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?
Coordinate Geometry Please choose a question to attempt from the following:
Coordinate Geometry Midpoint of the Line Joining Two Points Areas of Triangles Parallel and Non-Parallel Lines Perpendicular Lines.
1 Find the equation of the line that goes through the points (-3, 6) and (-2, 4). y = -2x.
Warm Up! – Graph the line that satisfies each condition
Straight Line Graph revision
Straight Line Graph revision
Medians - Perp Bisectors - Altitudes
Parallel and Perpendicular Lines
Unit 3 Parallel and Perpendicular Lines Review Problems
2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane.
Jeopardy Final Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200
Linear Geometry.
Chapter 3 Review Geometry.
Why Mr. Barton isn’t Very Good at Maths
Notation of lines in space
Parallel and Perpendicular Lines
3-3: Slopes of Lines.
Tuesday, December 04, 2018 Geometry Revision!.
Writing Equations of Lines
Linear Geometry.
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,
3.5 Write and Graph Equations of Lines
EXAMPLE 1 Find slopes of lines in a coordinate plane
Geometry Equations of Circles.
The Point-Slope Form of the Equation of a Line
Perpendicular Lines Sunday, 24 February 2019.
3-5: Vocabulary rise, run, slope point-slope form of a line
Millburn Academy Maths department Higher Equation of a Straight Line.
Perpendicular Bisectors
EQUATIONS OF A STRAIGHT LINE
Drawing other standard graphs
Higher Maths The Straight Line Strategies Click to start
Finding Shortest Distances
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.
Chapter 4 Review.
SCATTERGRAPHS Plot the points Draw in the line of best fit
Parallel and Perpendicular Lines
Presentation transcript:

Perpendicular Lines a) Work out the gradient of the line AB Saturday, December 08, 2018 Perpendicular Lines a) Work out the gradient of the line AB b) Draw a line which is perpendicular to the line AB. c) Hence work out the gradient of the perpendicular line y B 4 2 2 4 6 8 x A -2

a) Work out the gradient of the line LM b) Draw a line which is perpendicular to the line LM. c) Hence work out the gradient of the perpendicular line y L 4 M 2 2 4 6 8 x -2

If two lines are perpendicular to each other with gradients m1 and m2 then it is true to say or m2

Example Find the equation of the line which passes through (2, 3) which is Parallel to the line Perpendicular to the line

Example Obtain the equation of the perpendicular bisector of AB where A has coordinate (–1, 4) and B has coordinate (5, 6)