4.5 Point-Slope form of a linear equation

4.5 Point-Slope form of a linear equation

4.5 Point-Slope form of a linear equation y y1 m( x x1 ) If a line passes through (2, -4) and has a slope of 5, write the point-slope form of the equation of the line. y ( 4) 5( x 2) y 4 5( x 2)

Try this one If a line passes through (-2,0) and has a slope of -3/2, write the point-slope form of the equation of the line. y y1 m( x x1 ) 3 y 0 ( x 2) 2

3 y ( x 2) 2 Horizontal & Vertical Lines Horizontal Lines Slope = 0 The equation of the line is y = # Point-slope form: y - # = 0

Vertical Lines Slope = undefined The equation of the line is x = # There is no point-slope form Standard Form of a Linear Equation Ax + By = C A, B, and C are integers (numbers). A is not a fraction, decimal, or negative.

A or B can be zero but not both. Standard Form: Ax + By = C Given: y + 4 = 5(x 2) Write it in Standard Form y 4 5( x 2) y 4 5 x 10 y 5 x 14 5 x y 14

5 x y 14 Distribute Subtract 4 from both sides Subtract 5x Change all signs so A is not negative. Write it in slope-intercept form Given:

y 3 6( x 1) y 3 6 x 6 y 6 x 9 Distribute Subtract 3 Try These ~ Page 223 #1, 5, 8

1. y 3 = -2(x -1) 5. 3x + 4y = -9 8. y = -2/3x + 1

Recently Viewed Presentations

  • pmg-assets.s3-website-eu-west-1.amazonaws.com

    pmg-assets.s3-website-eu-west-1.amazonaws.com

    The financial statement have been prepared in accordance with policies, which have been applied consistently in all material aspects, unless otherwise indicated. Where appropriate
  • Electoral College What do you think of when

    Electoral College What do you think of when

    Electoral College What do you think of when you think of Presidential elections? Why was the vote in Florida so important in 2000? Most Americans probably need to read this….
  • blogs.4j.lane.edu

    blogs.4j.lane.edu

    Meiosis makes gametes and plant spores. Meiosis only happens in reproductive cells . In the beginning there is Interphase. Draw and label on pg 6. Stages (pg 6) Meiosis I = Prophase I, Metaphase I, Anaphase I and Telophase I....
  • Cognition and Intelligence - Napa Valley College

    Cognition and Intelligence - Napa Valley College

    Arrangement =must arrange the parts in a way that satisfies some criterion. ... Deliberation-without-awareness effect = intuitive, unconscious decisions may be more satisfying than those based on conscious deliberation, especially when choices are complex.
  • AP Literature and Composition

    AP Literature and Composition

    RTFQ - CHIEFLY meaning mainly POE Paradox = situation of contradictory events or images "cobweb wove of adamant" or "battlement of straw" are paradoxical (conflicting) Answer = B 12. To fully understand the situation presented in the poem, a reader...
  • Introduction to Cell and Molecular Biology Dr Helen

    Introduction to Cell and Molecular Biology Dr Helen

    - Small membrane-bound organelles & bud off from the Golgi. Consist of degradative enzymes for proteins, nucleic acid, lipids and carbohydrates (macromolecules). Centrioles - Regulator of the cell cycle and cytoskeletal organisation. Nucleoid - composed of circular double-stranded DNA. P....
  • Measuring Behavior - University of Idaho

    Measuring Behavior - University of Idaho

    Look at defined behvior Malleable by consequences Is not a fundamental quality of behavior Magnitude Is the force or intensity with which a response is emitted Important parameter for some response classes E.g., voice volume Is not usually a fundamental...
  • Graphics Processing Unit Bardia Bandali CEG4131  Fall 2012

    Graphics Processing Unit Bardia Bandali CEG4131 Fall 2012

    Geometry-Stage: CEG 4131-Fall 2012 Introduction. History. Graphic Elements. Graphic Pipeline. Vector Processors. F. Durand, "A Short Introduction to Computer Graphics", MIT Laboratory for Computer Science