PPT-Linear Equations and Their Forms

Chapter 6 Sections 15 Draw this table WORD COMMON MEANING MATHEMATICAL MEANING SLOPE INTERCEPT STANDARD POINT Draw this table WORD COMMON MEANING MATHEMATICAL MEANING SLOPE Incline steepnessexample. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Slope-Intercept Form | Point-Slope Form | Horizontal & Vertical Lines . Learning Objectives. Determine the equation of a line given the slope and . y. -intercept. Determine the equation of a line given the slope and any point. Another Look at Linear Graphs. Zero Slope & Lines with Undefined Slope. Horizontal & Vertical Lines. Graphing Using Both . Intercepts . (Cover-Up Method). (0,?). and . (?,0). Solving Equations Graphically. For . example:. Could . you tell that the . equations . y=2x +1 and y= 2x-7 . have . no . solution?. In this lesson you . will learn to predict how many solutions a system of linear equations has . by inspection.. By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . Introduction. This chapter gives you several methods which can be used to solve complicated equations to given levels of accuracy. These are similar to methods which computers and calculators will use, and hence can be used in computer programming. Bei Xiao . American University. April 13. Final project. Due May 4. th. .. The final websites will be shared among students!! . Presentations will be recorded as a 5 . mins. you-tube video! We will learn how to do this. . Point-Slope Form.  . The . point-slope form. allows you to use ANY point, together with the slope, to form the equation of the line.. Find the equation of a line that passes through the point . and has a slope of 3.. 1. 2. Elementary Row Operations. There are three kinds of Elementary Row Operations.. 1) Interchanging two rows.. Multiplying a row by a non-zero constant.. Adding a multiple of one row to another row.. 2. 8.1: First Order Systems. We now look at systems of linear differential equations.. One of the main reasons is that any nth order differential equation with n > 1 can be written as a first order system of n equations in n unknown functions.. Objectives:. To solve a system of linear equations by graphing. To classify a system of linear equations as consistent (independent and dependent) or inconsistent. To graph a system of linear inequalities.  .  . Solutions are found at the intersection of the equations in the system.. Types of Solutions. Section 8.1 – Systems of Linear Equations. Consistent System. One solution. Consistent System. Infinite solutions. Clayton County Summer Math Academy. Algebra I – Solving Equations & Systems. Sarah Ledford. June 9, 2015. 1. Solve it!. 2. Solve the following equation for . t. :. 105 = 100(1 + .05. t. ). Explain how you solved it & how you know your solution is correct. . I ntegral Equations iterations are called as Half-Sweep Gauss-Seidel (HSGS) (QSGS) methods The outline of this paper is organized in following way. In Section 2, the formulation of the full-, half- a