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2. 2 Linear Equation – is an equation between two variables that gives a straight line when plotted on a graph. Often written in the form: y = mx+b In the equation x is the independent variable and the y is the dependent variable

3. 3 Independent variable – represents a quantity that is being manipulated in an experiment. (x) Often written in the form: y = mx+b Dependent variable – represents a quantity whose value depends on those manipulations. (y)

4. Using a Table to Represent a Linear Equation The length of a rectangular frame is 5 inches longer than its width. –Let w represent the width –Let L represent the length L = w + 5 4

5. State the Variables For the equation L = w + 5 –Independent –Dependent 5

6. Using the Pervious Table You Can Make a Graph 6

7. Using a Table to Represent a Linear Equation Each Paint contains 5 gallons of paint. –Let v represent the paint in gallons –Let c represent the number of cans v = 5c 7

8. State the Variables For the equation v = 5c –Independent –Dependent 8

9. Using the Pervious Table You Can Make a Graph Number of Cans5cPaint in Gallons 15(1)5 25(2)10 35(3)15 45(4)20 9

10. Lets Try Some TOGETHER! The width of a rectangular tank is 2 meters less than the length –Let w represent the width –Let L represent the length w = L – 2 10 Length L - 2Width 3 - 2 4 5 6

11. State the Variables For the equation w = L - 2 –Independent –Dependent 11

12. Use the chart to make a graph Length L - 2Width 33 - 21 4 4 - 22 5 5 - 23 6 6 - 24 12

13. Lets Try Some TOGETHER! Paul and Lee went to the library to borrow some books. Paul borrowed 6 more books than Lee 13 Lee 3 4 5 6

14. State the Variables For the equation y = x + 6 –Independent –Dependent 14

15. LeeL + 6Paul 33 + 69 44 + 610 55 + 611 66 + 612 15

16. Lets Try Some TOGETHER! Zoey bought some boxes of red and blue beads. The number of red bead boxes was 4 times as many as blue bead boxes. 16 Blue Beads 2 3 4 5

17. State the Variables For the equation y = x + 6 –Independent –Dependent 17

18. Blue Beads4(b)Red Beads 24(2)8 34(3)12 44(4)16 54(5)20 18

19. Create a Table and Graph A rectangle has a perimeter of P cm. Its width is b cm. Its length is double the width –P = b + b + 2b + 2b or 6b Use the width of 1, 2, 3, 4, and 5 19

20. Create a Table and Graph Ethan scored x points in the game. His sister sored 8 points in the game. Their combined score was y. –y = x + 8 Use the Ethan’s points of of 6, 7, 8, 9, and 10 20

21. Create a Table and Graph The side length of a square is t in. The perimeter of the square is z in. –P = 4z Use the lengths of 3, 4, 5, 6, and 7. 21

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