1. Solving Linear Equations By: Anna Carey, Ali LaBella, and Jen Putnam

2. Linear Equations vs.Linear Functions A linear equationis an equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant.

3. Examples of Linear Equations Linear EquationsNot Linear Equations 7x − 3y = 14 8a + 3b2 = -12 x = 11y=ghghjgfj 3s = -2t − 9x + xy= 2 y = ¼xy = 1/X

5. Cannot have two variables multiplied by each otherWhy?

7. A and B cannot be zero

8. Example: 5x + 7y = 12Standard Form

10. b is the y-intercept

11. Example: y = ¾x + 6Slope-Intercept Form

13. m is the slope of the line

14. Example: y +1 =¼(x − 2)Point-Slope Form

16. b is the y-intercept

17. Example: x/2 + y/5 = 1Intercept Form

24. 3x = -6

25. x = -2The solution to this linear equation is x = -2 Solving a Linear Equation

26. THE END