Graphs of Linear Equations Table of Values and

Graphs of Linear Equations: Table of Values and Graphs Module 4 Lesson 7

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

Definition of Linear Equation �A linear equation is an equation which has: W yo rite ur �one or two variables no this te on sh �the variables appear in separate terms ee t �each variable occurs only to the first power line �The graph of a linear equation is always a _______. �Which of these are linear equations? Why or why not? y=x+1 35 = xy y=– 5

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

Try this x -1 0 1 2 y=x+4 y D you o thi r n s on ote she et

Try this x -1 0 1 2 y = – 2 x + 3 y D you o thi r n s on ote she et

Try this x -1 0 1 2 y = – 5 y D you o thi r n s on ote she et

Day 2 : Review Table of Values and Graphing

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) 0 2 4 6 g 2 46 m gallons g = 5 m + 4 1 2 3 4 5 6 time (minutes) 7 8

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

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