1. On a quiz show, 30 points are given for correct answers to Regular questions, and 60 points are given for correct answers in the Bonus round. Let R represent the number of regular questions answered correctly and B represent the number of bonus questions answered correctly. a)Write an expression that give the total number of points earned. b) Suppose a contestant earned 900 points. Write an equation relating R, B, and the number of points earned. c)If the contestant answered 20 regular questions correctly and earned 900 points, how many bonus questions were answered correctly? d)Find another possible solution to the equation in b. 30R + 60B 30R + 60B = 900 5 Bonus Questions

2. 3-4 The Graph of Ax + By = C

3. Standard Form Ax + By = C A has to be POSITIVE!!! A has to be POSITIVE!!! A and B can not be FRACTIONS or DECIMALS!!! A and B can not be FRACTIONS or DECIMALS!!! A and B can not BOTH be zero.A and B can not BOTH be zero. The graph of Ax + By = C, where A and B are not both 0, is a line.The graph of Ax + By = C, where A and B are not both 0, is a line.

4. Finding Useful Information -To find the x-intercept: Substitute 0 in for y.Substitute 0 in for y. Solve for xSolve for x x = C / Ax = C / A -To find the y-intercept: Substitute 0 in for x.Substitute 0 in for x. Solve for ySolve for y y = C / By = C / B -To find slope: Subtract Ax Divide by B m = -A / B Standard Form : Ax + By = C

5. Example 2/22/2016 Give an equation in Standard Form for the line with y-int of – 5 and slope. Identify the x-int. ←Standard Form→

6. 2/22/2016Example2/22/2016 Give an equation in Standard Form for the line with y-int of 7 and slope. Identify the x-int. ←Standard Form→

7. 2/22/2016 Complete the Table Standard Form Ax + By = C Slopey-interceptx-intercept 5x – 10y = 30 –2/54 6x – 7y = –42 none – 9 1/2 – 3 6 2x + 5y = 20 10 6/76 – 7 x = – 9 undefined

8. Graphing by Intercepts To Graph by Intercepts Find x-intercept Plot on Graph Find y-intercept Plot on Graph Draw line through the points 4x + 3y = 12 4x + 3(0) =12x-int = 3 4x + 3y = 12 4(0) + 3y = 12y-int = 4

9. 2/22/2016 Graphing by Intercepts Graph the equation: 6x – 4y = 24 using its intercepts. x-int = ? y – int = ? 6x – 4(0) =24 6(0) – 4y =24 x-int = 4 (4, 0) y-int = –6 (0, –6)

10. Assignment Lesson Master 3-4Lesson Master 3-4 Pages 160-161 #’s 6, 8, 9,12-18, 20-22.Pages 160-161 #’s 6, 8, 9,12-18, 20-22. Study for Quiz on Sections 3-1 to 3-3!!!!!Study for Quiz on Sections 3-1 to 3-3!!!!!