2. SWBAT… Write lines in slope-intercept form Mon, 11/28 Agenda 1.WU (10 min) 2.Slope quiz review (5 min) 3.5 Practice problems - slope-intercept form (20 min) Warm-Up 1. Find the slope of (6c, 2d) and (8c, 4d) 2. The table shows production costs for building different numbers of skateboards. Determine the missing value, x, that will result in a linear model. HW4: Writing Equations in slope-intercept form Skateboards BuiltProduction Costs ($) 14325 28500 x375 22425

3. Find the slope of (6c, 2d) and (8c, 4d)

4. The table shows production costs for building different numbers of skateboards. Determine the missing value, x, that will result in a linear model. Skateboards BuiltProduction Costs ($) 14325 28500 x375 22425

5. When an equation is in slope-intercept form: What is the slope? ____________ Now look at the equation below…… What is the y-intercept? ____________

6. Given y = ½x + ¾, what is the slope and the y-intercept? m = ½ b = ¾

7. Given y = ½x – ¾, what is the slope and the y-intercept? m = ½ b = -¾

8. Given y = -½x – ¾, what is the slope and the y-intercept? m = -½ b = -¾

9. y = mx+ b is an equation that defines a line A line has two characteristics Slope Points that fall on the line (the y-intercept is on the line)

10. Converting linear equations into Slope-Intercept Form, y = mx + b Our main goal is to get the y alone on one side of the equation 6 Examples

11. Example 1 - convert into Slope-Intercept Form (divide both sides by 2 to get y alone) (now simplify all fractions) 21 What is the slope? _____What is the y-intercept? ______

12. Example 2 – Convert to Slope-Intercept Form -3y = -9x – 12 Step 1: Divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b What is the slope? ____________ What is the y-intercept? ____________

13. *** Check Your Answer *** -3y = -9x – 12 (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3x + 4 -3 -3y = -9x – 12 -3 -3 -3 Slope = 3 Intercept = 4 Wow, you’re good at this!!

14. Example 3: Convert to Slope-Intercept Form 21x – 7y =14 (subtract both sides by 21x) -7y = -21x + 14 (now divide both sides by -7) y = 3x – 2 (simplify all fractions) What is the slope? _________ What is the y-intercept? ________

15. 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions Example 4: Convert to Slope-Intercept Form What is the slope? ____________ What is the y-intercept? ____________

16. 2y + 26 = -6x (subtract both sides by 26) 2y = -6x – 26 (now divide both sides by 2 y = -3x – 13 (simplify all fractions) You are a math wizard! *** Check Your Answer ***

17. Example 5: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 5x – 4y = 3?

18. Example 6: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4y = 24?

19. Video: Families of Linear Graphs http://www.glencoe.com/sites/texas/ student/mathematics/assets/animati on/algebra1/ALG1CIM4-3.swf