SlideShare uma empresa Scribd logo
1 de 17
Do Now:
5.5 Writing Equations in Point-Slope Form ,[object Object],[object Object]
What we Know so far…. Slope Intercept Form Where  m  is the slope and  b  is the intercept
The New Stuff… Point- Slope Form Point- Slope form is: Where  m  is the slope and (x 1, y 1 ) is the given point
Point Slope Form Writing Equations of Lines
Write the equation of the line with slope  3  and passing through the point  (1, 5). y –  y 1  =  m (x –  x 1 ) Use Point-Slope Form
Write the equation of the line with slope  ¾  and passing through the point  (-5, 3). y –  y 1  =  m (x –  x 1 ) Use Point-Slope Form
Write the equation of the line with slope  -4/7  and passing through the point  (2, -4). y –  y 1  =  m (x –  x 1 )
Write the equation of the line passing through the points (-2, 6) and (3, -1). y –  y 1  =  m (x –  x 1 ) Find the slope let's use (3, -1)
Write the equation of the line passing through the points (4, 3) and (6, 8). y –  y 1  =  m (x –  x 1 ) Find the slope let's use (4, 3)
Write the equation of the line passing through the points (4, -3) and (-7, -1). y –  y 1  =  m (x –  x 1 ) Find the slope let's use (4, -3)
Why does the point-slope form work? Find the slope between (x 1 , y 1 ) and (x, y). Reflexive propetry Point-Slope Form
Convert  y = 3x + 2  to standard form. multiply both sides by -1
Convert to standard form. multiply both sides by -4
Convert  to standard form. multiply both sides by 7
Write the equation of the line  parallel  the line  4x – 5y = 7  that passes through the point  (-3, 7) What is the slope of the given line? y –  y 1  =  m (x –  x 1 )
Write the equation of the line  perpendicular  the line  3x + 2y = 9  that passes through the point  (2, 5) What is the slope of the given line? y –  y 1  =  m (x –  x 1 )

Mais conteúdo relacionado

Mais procurados

5.1 Graphing Quadratic Functions
5.1 Graphing Quadratic Functions5.1 Graphing Quadratic Functions
5.1 Graphing Quadratic Functions
hisema01
 
Review Of Slope And The Slope Intercept Formula
Review Of Slope And The Slope Intercept FormulaReview Of Slope And The Slope Intercept Formula
Review Of Slope And The Slope Intercept Formula
taco40
 
Writing Equations of a Line
Writing Equations of a LineWriting Equations of a Line
Writing Equations of a Line
swartzje
 
Solving Systems of Linear Inequalities
Solving Systems of Linear InequalitiesSolving Systems of Linear Inequalities
Solving Systems of Linear Inequalities
swartzje
 
Equations of Straight Lines
Equations of Straight LinesEquations of Straight Lines
Equations of Straight Lines
itutor
 
5 4 function notation
5 4 function notation5 4 function notation
5 4 function notation
hisema01
 
7.5 lines and_planes_in_space
7.5 lines and_planes_in_space7.5 lines and_planes_in_space
7.5 lines and_planes_in_space
Mahbub Alwathoni
 
Introduction to slope presentation
Introduction to slope presentationIntroduction to slope presentation
Introduction to slope presentation
skellyreyes
 

Mais procurados (20)

Equation of the line
Equation of the lineEquation of the line
Equation of the line
 
5.1 Graphing Quadratic Functions
5.1 Graphing Quadratic Functions5.1 Graphing Quadratic Functions
5.1 Graphing Quadratic Functions
 
Review Of Slope And The Slope Intercept Formula
Review Of Slope And The Slope Intercept FormulaReview Of Slope And The Slope Intercept Formula
Review Of Slope And The Slope Intercept Formula
 
Writing Equations of a Line
Writing Equations of a LineWriting Equations of a Line
Writing Equations of a Line
 
11.2 graphing linear equations in two variables
11.2 graphing linear equations in two variables11.2 graphing linear equations in two variables
11.2 graphing linear equations in two variables
 
Solving Systems of Linear Inequalities
Solving Systems of Linear InequalitiesSolving Systems of Linear Inequalities
Solving Systems of Linear Inequalities
 
2.4 Linear Functions
2.4 Linear Functions2.4 Linear Functions
2.4 Linear Functions
 
Equations of Straight Lines
Equations of Straight LinesEquations of Straight Lines
Equations of Straight Lines
 
5 4 function notation
5 4 function notation5 4 function notation
5 4 function notation
 
Slope Intercept Form
Slope Intercept FormSlope Intercept Form
Slope Intercept Form
 
composite functions
composite functionscomposite functions
composite functions
 
writing linear equation
writing linear equationwriting linear equation
writing linear equation
 
Section 6.4 graphs of the sine, cosine, tangent, cotangent, cosecant, and sec...
Section 6.4 graphs of the sine, cosine, tangent, cotangent, cosecant, and sec...Section 6.4 graphs of the sine, cosine, tangent, cotangent, cosecant, and sec...
Section 6.4 graphs of the sine, cosine, tangent, cotangent, cosecant, and sec...
 
7.5 lines and_planes_in_space
7.5 lines and_planes_in_space7.5 lines and_planes_in_space
7.5 lines and_planes_in_space
 
Slope power point grade 8
Slope power point grade 8Slope power point grade 8
Slope power point grade 8
 
11.3 slope of a line
11.3 slope of a line11.3 slope of a line
11.3 slope of a line
 
Joint variation
Joint variationJoint variation
Joint variation
 
Slope PowerPoint
Slope PowerPointSlope PowerPoint
Slope PowerPoint
 
Introduction to slope presentation
Introduction to slope presentationIntroduction to slope presentation
Introduction to slope presentation
 
Slope of a line
Slope of a lineSlope of a line
Slope of a line
 

Semelhante a 5.5 Linear Equations Point Slope Form (20)

6 4 Point Slope Form
6 4 Point Slope Form6 4 Point Slope Form
6 4 Point Slope Form
 
Alg1 lesson 5-5
Alg1 lesson 5-5Alg1 lesson 5-5
Alg1 lesson 5-5
 
Module 4 topic 3 2nd
Module 4 topic 3   2ndModule 4 topic 3   2nd
Module 4 topic 3 2nd
 
Module 4 topic 3 similar problems
Module 4 topic 3 similar problemsModule 4 topic 3 similar problems
Module 4 topic 3 similar problems
 
TechMathI - Point slope form
TechMathI - Point slope formTechMathI - Point slope form
TechMathI - Point slope form
 
WRITING AND GRAPHING LINEAR EQUATIONS 1.pptx
WRITING AND GRAPHING LINEAR EQUATIONS 1.pptxWRITING AND GRAPHING LINEAR EQUATIONS 1.pptx
WRITING AND GRAPHING LINEAR EQUATIONS 1.pptx
 
Geometry unit 3.7
Geometry unit 3.7Geometry unit 3.7
Geometry unit 3.7
 
2.4
2.42.4
2.4
 
2.4
2.42.4
2.4
 
Alg2 lesson 2.4
Alg2 lesson 2.4Alg2 lesson 2.4
Alg2 lesson 2.4
 
Linear equations rev
Linear equations revLinear equations rev
Linear equations rev
 
2 6 writing equations in point-slope form
2 6 writing equations in point-slope form2 6 writing equations in point-slope form
2 6 writing equations in point-slope form
 
คาบ 5 7
คาบ 5 7คาบ 5 7
คาบ 5 7
 
5.5 parallel perp lines
5.5 parallel perp lines5.5 parallel perp lines
5.5 parallel perp lines
 
Alg2 lesson 2 4
Alg2 lesson 2 4Alg2 lesson 2 4
Alg2 lesson 2 4
 
January 15, 2015
January 15, 2015January 15, 2015
January 15, 2015
 
Algebra 2 Section 1-4
Algebra 2 Section 1-4Algebra 2 Section 1-4
Algebra 2 Section 1-4
 
Linear equations part i
Linear equations part iLinear equations part i
Linear equations part i
 
Equations of a Line
Equations of a LineEquations of a Line
Equations of a Line
 
February 18 2016
February 18 2016February 18 2016
February 18 2016
 

Último

1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
QucHHunhnh
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 

Último (20)

ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxHMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 

5.5 Linear Equations Point Slope Form

  • 2.
  • 3. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept
  • 4. The New Stuff… Point- Slope Form Point- Slope form is: Where m is the slope and (x 1, y 1 ) is the given point
  • 5. Point Slope Form Writing Equations of Lines
  • 6. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m (x – x 1 ) Use Point-Slope Form
  • 7. Write the equation of the line with slope ¾ and passing through the point (-5, 3). y – y 1 = m (x – x 1 ) Use Point-Slope Form
  • 8. Write the equation of the line with slope -4/7 and passing through the point (2, -4). y – y 1 = m (x – x 1 )
  • 9. Write the equation of the line passing through the points (-2, 6) and (3, -1). y – y 1 = m (x – x 1 ) Find the slope let's use (3, -1)
  • 10. Write the equation of the line passing through the points (4, 3) and (6, 8). y – y 1 = m (x – x 1 ) Find the slope let's use (4, 3)
  • 11. Write the equation of the line passing through the points (4, -3) and (-7, -1). y – y 1 = m (x – x 1 ) Find the slope let's use (4, -3)
  • 12. Why does the point-slope form work? Find the slope between (x 1 , y 1 ) and (x, y). Reflexive propetry Point-Slope Form
  • 13. Convert y = 3x + 2 to standard form. multiply both sides by -1
  • 14. Convert to standard form. multiply both sides by -4
  • 15. Convert to standard form. multiply both sides by 7
  • 16. Write the equation of the line parallel the line 4x – 5y = 7 that passes through the point (-3, 7) What is the slope of the given line? y – y 1 = m (x – x 1 )
  • 17. Write the equation of the line perpendicular the line 3x + 2y = 9 that passes through the point (2, 5) What is the slope of the given line? y – y 1 = m (x – x 1 )