1. Module 4 Lesson 7

2. What values of x and y make this equation true? There are infinitely many solutions!

3. Definition of Linear Equation A linear equation is an equation which has: one or two variables the variables appear in separate terms each variable occurs only to the first power The graph of a linear equation is always a _______. Which of these are linear equations? Why or why not? y = x + 135 = xyy = – 5 3p + 5q = 16s = 0.2t y = x 2 + 7 line Write this on your note sheet

4. Steps to Graph a Linear Equation 1. Choose at least three x-values and make a table of values. 2. List the solutions as ordered pairs. 3. Graph the ordered pairs. 4. Draw a line through them. x y = ½ x – 3 y -2 0 2 4

5. Try this x y = x + 4 y 0 1 2 y = x + 4 Do this on your note sheet

6. Try this x y = –2x + 3 y 0 1 2 y = –2x + 3 Do this on your note sheet

7. Try this x y = –5 y 0 1 2 y = –5 Do this on your note sheet

8. Day 2 : Review Table of Values and Graphing

9. Real-World Example You are filling up your hot tub with water. It is currently at 4 gallons and fills at 5 gallons a minute. Write and graph an equation using the variables: g: total gallons of water m: time (in minutes) g = 5m + 4 time (minutes) gallons mg 0 2 4 6 1 2 3 4 5 6 7 8 2 4 6

10. Complete a table of values and graph y = 3x – 2x – y = 6 xyxy

11. Complete a table of values and graph y = 3x = –7 xyxy