PPT-Graphing Linear Equations

By Christine Berg Edited By VTHamilton Linear Equation An equation for which the graph is a line Solution Any ordered pair of numbers that makes a linear equation true 90 IS ONE SOLUTION. 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 3.1 – . Systems of Linear Equations in Two Variables. 1. Suppose we have two linear equations. :. . . Together, they make a ________________________________ (also called a . ___________________).. 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:. Emily Zhou. What is a Linear Equation?. A linear equation is an equation whose graph forms a straight line.. Linear equations are usually shown on a coordinate plane. Real life situations of linear equations include the stock market as well as the payments of a car.. Reals. Dana . Moshkovitz. , MIT. Joint work with . Subhash. . Khot. , NYU. We propose an approach for proving the . unique games conjecture . by studying the hardness of approximately solving . real. Notes Part . 13. Systems of Linear Inequalities. Just . like when graphing systems of linear equations, you can graph systems of linear inequalities. . First. , graph both inequalities on the coordinate plane, shading where appropriate. . 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. . Algebra 2. Chapter 3. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. A review of sections 4.2, 4.3, and 4.5 . Mike . Hagedorn. CEP 811 . STaIR. Standards. A3.1.1 . Write the symbolic forms of linear functions (standard, point-slope, and slope-intercept) given appropriate information, and convert between forms. . by . Graphing. Key Terms:. A system of two linear Equations – in ____ variables x and y, consist of two linear equations. . Solution – consist of an order pair_____ .. Two Types:. Consistent – At least one Solution. A “System” is a . set of equations.. A . Linear System. is two linear equations (two lines). Solving . a Linear . System. The . point of . intersection of the lines . is called . the . “solution”. Algebra 1: Unit 7. Graphing linear equations. Graphing Linear Equations. The steps to graphing a linear equation:. Step . 1: Create an x/y chart. Step 2: Pick two points for x. Step 3: Determine the value of y given x. 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. What we will learn. Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Use linear equations to solve real-life problems. Needed Vocab. Equation:.