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Bell Ringer (8 minutes) 1) Solve the equation for a. b = 4a − 17 − 2b 2) Solve the equation for m. mn = 3m − 2 4) In a box of hot chocolate, 3 scoops of.

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Presentation on theme: "Bell Ringer (8 minutes) 1) Solve the equation for a. b = 4a − 17 − 2b 2) Solve the equation for m. mn = 3m − 2 4) In a box of hot chocolate, 3 scoops of."— Presentation transcript:

1 Bell Ringer (8 minutes) 1) Solve the equation for a. b = 4a − 17 − 2b 2) Solve the equation for m. mn = 3m − 2 4) In a box of hot chocolate, 3 scoops of powder contain 50 calories and will make one serving of 6 fluid ounces. Heidi used the proportion below to determine the number of calories that are in a fifteen ounce serving of hot chocolate. What is the value of x? = 3) The length to height ratio of a rectangular window is 5 inches to 4 inches. What is the height of this window if the length is 40 inches?

2 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Classwork 9. ET #5

3 Slope-Intercept Form y = mx + b What does the x and y represent? Why is this important in linear equations?

4 CODE YELLOW y = mx + b For each equation, identify the slope and y-intercept. #1 y = 5x + 3 #2 y = 3x – 9 #3 y = -4x +3 #4 6x + 4y = 24 #5 -5x – 2y = 15 #6 y = 4x Write an equation in slope-intercept form. #7 slope 4; y-int 6#8 slope 2/3; y-in -2 #9 m=15; b = -2#10 m =-4/9; b = -1/4

5 CODE GREEN y = mx + b For each equation, identify the slope and y-intercept. #1 y = 24x + 6 #2 y = 6x – 6 #3 y = -2x +1 #4 9x + 3y = 24 #5 -3x – 2y = 14 #6 y = -9x Write an equation in slope-intercept form. #7 slope 2; y-int 6#8 slope 5/2; y-int -7 #9 m=2; b = -5#10 m =-2/3; b = -2/5

6 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Finding x and y intercepts. 9. Classwork 10. ET #5

7 CODE YELLOW y = mx + b #1 Graph the line:#2 Graph the line:

8 CODE GREEN y = mx + b #1 Graph the line: y = -3x – 4 #2 Graph the line:

9 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Finding x and y intercepts. 9. Classwork 10. ET #5

10 CODE YELLOW y = mx + b Write an equation in slope intercept form of each graph. #1 #2

11 CODE GREEN y = mx + b Write an equation in slope intercept form of each graph. #1 #2

12 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Finding x and y intercepts. 9. Classwork 10. ET #5

13 CODE YELLOW y = mx + b WRITING AN EQUATION FROM TWO POINTS W/ SLOPE INTERCEPT (2, 1) AND (5, -8) x 1 y 1 x 2 y 2 STEP #1 Label coordinates (2, 1) and (5, -8) STEP #2 Find the slope m = y 2 - y 1 = -8 – 1 = -9= -3 x 2 - x 1 5 – 2 3 x y STEP #3 Determine the y-int y = mx + b m = -3 (2, 1) 1 = -3(2) + b 1 = -6 + b 7 = b STEP #4 Substitute m and b m = -3 and b = 7 y = -3x + 7

14 CODE YELLOW y = mx + b WRITING AN EQUATION FROM TWO POINTS W/ SLOPE INTERCEPT #1 (3, -2) AND (1, - 3) #2 (-3, 4) AND (2, -1) STEP #1 Label coordinates STEP #2 Find the slope STEP #3 Determine the y-int STEP #4 Substitute m and b

15 CODE YELLOW y = mx + b WRITING AN EQUATION FROM THE TABLE OF VALUES STEP #1 Select two coordinates and label STEP #2 Find the slope STEP #3 Determine the y-int STEP #4 Substitute m and b

16 CODE GREEN y = mx + b WRITING AN EQUATION FROM TWO POINTS W/ SLOPE INTERCEPT #1 (0, 3) AND (2, 5) #2 (-7, -3) AND (-12, 5) STEP #1 Label coordinates STEP #2 Find the slope STEP #3 Determine the y-int STEP #4 Substitute m and b

17 CODE GREEN y = mx + b WRITING AN EQUATION FROM THE TABLE OF VALUES STEP #1 Select two coordinates and label STEP #2 Find the slope STEP #3 Determine the y-int STEP #4 Substitute m and b

18 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Finding x and y intercepts. 9. Classwork 10. ET #5

19 CODE YELLOW y = mx + b Write the equation into slope intercept form and state the slope and y-intercept. #1 y = 7 – 3x #2 3y + 6 = -2x #3 4x + 3y = 2x – 1 #4 y – 9x = 1/2

20 CODE GREEN y = mx + b Write the equation into slope intercept form and state the slope and y-intercept. #1 y – 2 = -3x#2 -2y = 6(5 – 3x) #3 2y + 4 = - 6x #4 -12y – 3x = -48

21 Goals for the Day: 1. Do Now 2. Introduction of Slope Intercept formula - Identifying slope and y-intercept. 3. Writing an equation. 4. Graph given equation 5. Determine equation given graph 6. Write equation from 2 points or a table 7. Convert to slope intercept 8. Finding x and y intercepts. 9. Classwork 10. Exit Ticket

22 CODE YELLOW y = mx + b Finding x and y intercept. y = 3x + 4 Finding x-intercept (x, 0)  Set y = 0, solve for x. Finding y-intercept (0, y)  Set x = 0, solve for y.

23 CODE GREEN y = mx + b Finding x and y intercept. y = -3x + 2 Finding x-intercept (x, 0)  Set y = 0, solve for x. Finding y-intercept (0, y)  Set x = 0, solve for y.

24 CLASS WORK – INDEPENDENT WORK Algebra Textbook: Pg. 310 – 311 #7 – 33 odds Select 4 problems from #37 – 48 For #63, 65, 67 write in slope-intercept form

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