1. Slide 1 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com 4-5 Graphing Linear Equations Objective: Students will determine whether an equation is linear and graph linear equations. S. Calahan 2008

2. Slide 2 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com vocabulary 1. Linear equation – the equation of a line 2. Standard form – Ax + By = C 3. x-intercept – the x-coordinate of the point at which it crosses the x-axis 4. y-intercept – the y-coordinate of the point at which it crosses the y-axis

3. Slide 3 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com Identify linear equations Determine whether each equation is a linear equation. 5x + 3y = z + 2 no, this has 3 variables ¾ x = y + 8 yes, this can be rewritten Ax + By = C -y -y ¾ x – y = 8 standard form

4. Slide 4 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com Identify Linear Equations 3x – 6y = 27 simplify the equation 3 3 3 x – 2y = 9 Yes, this is written in Ax + By = C ¼ x = -7 simplify the equation, multiply by 4 4 (¼x) = (-7)· 4 x = -28 yes, this is in the form 1x + 0y = -28

5. Slide 5 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com Graph ½ y – x = 1 first solve for y +x +x 2 · (½ y) = (x + 1) ·2 distribute the 2 y = 2x + 2 Now, make a table to solve for y

6. Slide 6 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com The Table x 2x + 2y(x, y) 2(-1) + 20(-1, 0) 02(0) + 22(0, 2) 12(1) + 24(1, 4) 22(2) + 26(2, 6) Choose at least 3 values for the domain.

7. Slide 7 © 2004 By Default! A Free sample background from www.awesomebackgrounds.com The Graph (-1, 0), (0, 2), (1, 4), (2, 6)