1 / 7

Linear Equations: Point-Slope Form

Equations of Linear Relations. Lesson 4 -5. Linear Equations: Point-Slope Form. 6.5. 1. MATHPOWER TM 10, WESTERN EDITION. Writing Equations in Standard Form. When the equation of a line is written in the form Ax + By + C = 0 , the equation is in Standard Form.

floyd
Télécharger la présentation

Linear Equations: Point-Slope Form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Equations of Linear Relations Lesson 4 -5 Linear Equations: Point-Slope Form 6.5.1 MATHPOWERTM 10, WESTERN EDITION

  2. Writing Equations in Standard Form When the equation of a line is written in the form Ax + By + C = 0, the equation is in Standard Form. For an equation to be in standard form: • A, B and C are integers. • A is a positive integer. • A and B cannot both be zero. To write an equation of a line, you need: 1. the slope of the line 2. a point on the line 6.5.2

  3. Writing the Equation of a Line Use the slope formula where: •(x, y) represents any point on the line, and •(x1, y1) refers to the given point. y - y1 = m(x - x1) The equation y - y1 = m(x - x1) is the point-slope form. More useful like this: 6.5.3

  4. Writing an Equation Given a Point and a Slope Write an equation in standard form for the line through (-2, 7) with slope of . Write an equation in standard form for the line through (6, -2) with slope of . (x1, y1) Standard form of the equation 3x - 4y - 26 = 0 Standard form of the equation is 2x + 3y - 17 = 0 6.5.4

  5. Writing an Equation Given Two Points Find the equation, in standard form, of the line that passes through the points A(3, -4) and B (5, 6) Using the point A(3, -4): 5x - y - 19 = 0 Using the point B(5, 6): m = 5 5x - y - 19 = 0 6.5.5

  6. Find the equation of a line that is Parallel to the

  7. Writing the Equation from the Graph (0, 5) (5, 0) m = -1 6.5.6

More Related