Module 4 Lesson 7. What values of x and y make this equation true? There are infinitely many solutions!

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Presentation transcript:

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: 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 = xyy = – 5 3p + 5q = 16s = 0.2t y = x line Write this on your note sheet

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

Try this x y = x + 4 y y = x + 4 Do this on your note sheet

Try this x y = –2x + 3 y y = –2x + 3 Do this on your note sheet

Try this x y = –5 y y = –5 Do this on your note sheet

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) g = 5m + 4 time (minutes) gallons mg

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

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