1. Section 4.2 Graphing Linear Equations Mr. Beltz & Mr. Sparks

2. A.Definitions Linear equation - an equation that can be written in the form: Ax + By = C (Standard Form), where A and B are not both zero. A linear equation when graphed, is a line. Solution of an equation - an ordered pair, (x,y), that makes the equation true. An ordered pair solution, is a point that is on the line. Example #1: Determine whether the ordered pair is a solution of: x + 2y = 5 a)(1, 2) x + 2y = 5 (1) + 2(2) = 5 1 + 4 = 5 5 = 5True Statement, (1,2) is a solution and on the line. b)(7,  3) x + 2y = 5 (7) + 2(-3) = 5 7 + (-6) = 5 1  5False statement, (7, -3) is not a solution or on the line.

3. B. Find Solutions of Linear Equations Find 3 ordered pairs that are solutions to: -2x + 2y = 4 x y 1 0 -2 Step 1: -2x + 2y = 4 Get y by itself +2x +2x 2y = 2x + 4 2 2 2 slope-intercept or function form: y = x + 2 Step 2: Substitute the value y = 1 + 2 for x into the equation y = 3 and solve. Step 3: Place the values in the table. Application: Students solve for x = 0 and x = -2 HW

4. C.Graph Linear Equations (Day 2) Use the table from the previous problem to graph: -2x + 2y = 4 or y = x + 2 x y 13 02 -20 Application: Students graph: y = 3x - 2, and 4y - 2x = 8

5. Assignments: Day 1:Homework - Page 213, # 1-12 Day 2:In Class - page 213, # 13, 14, 15 and Page 212, # 7 Homework - Page 213, # 16 - 48 evens Day 3:Homework - Page 213, # 17 - 47 odd