Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10. Unit 4. [Writing Linear Equations]

Transcription

1 Name: Teacher: Per: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 4 [Writing Linear Equations] Find the equation of a line that has slope m = 4 and passes through the point ( 1, 6). Oka, the gave me the slope, m = 4. Also, b giving me a point on the line, the gave me an and a -value: = 1 = 6. In slope-intercept form ( = m + b), I need, m,, and b. All I need to do is plug in what the gave me and solve for b: = m + b ( 6) = (4)( 1) + b 6 = 4 + b = b For the Equation, = m + b, I now know both m and b so: = 4 2 Unit 4 Writing Linear Equations 1

2 To be a Successful Algebra class, TIGERs will show #TENACITY during our practice, have I attempt all practice I attempt all homework I never give up when I don t understand #INTEGRITY as we help others with their work, maintain a #GO-FOR-IT attitude, continuall I alwas check m answers I correct m work, I never just cop answers I eplain answers, I never just give them I write down all notes, even if I m confused I remain positive about m goals I treat each da as a chance to reset #ENCOURAGE each other to succeed as a team, and alwas #REACH-OUT and ask for help when we need it! I offer help when I understand the material I push m teammates to reach their goals I never let m teammates give up I ask m questions during homework check I ask m teammates for help during practice I attend enrichment/tutorials when I need to Unit 4 Writing Linear Equations 2

3 Unit Calendar MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Novermber DLA Writing Equations given a slope and -intercept Writing Equations in Slope Intercept Form Writing Equations in Point Slope Form Converting Slope Intercept Form to Standard Form Practice Writing Equations Writing equations of Parallel and Perpendicular Lines Review TEST Essential Questions How can I choose the best linear representation in this situation? And wh? Wh do I translate between the various algebraic forms of a linear function? What do the various forms the tell me? What connections can I make between the graph and the linear equation? How can I use linear functions to describe real world data? How can I use linear relationships to make decisions and predictions for real world situations? Unit 4 Writing Linear Equations 3

4 Critical Vocabular Slope -Intercept / Zero -intercept Slope-Intercept Form Point-Slope Form Standard Form Unit 4 Writing Linear Equations 4

5 Slope-Intercept Form: Given Slope and - intercept Slope Intercept Form: Slope: -intercept: Eamples: Write the equation of a line with a slope of 3, and -intercept of -8. Write the equation of the line graphed below. Find the equation of a line that crosses the -ais at the point (0, 6) and has a rate of change of -1/3. Write the equation of the line represented in the table below Unit 4 Writing Linear Equations 5

6 Practice: Write the equation of a line with a -intercept of -3, and a slope of 1/4. Write the equation of the line graphed below. Find the equation of a line that crosses the -ais at the point (0, 0) and has a rate of change of 5. Write the equation of the line represented in the table below Write the equation of the line graphed below. Write the equation of the line represented in the table below Unit 4 Writing Linear Equations 6

7 Eamples: Horizontal Line = 5 Vertical Line = 5 m: m: Write the equation of a vertical line through the point (2, -4). Write the equation of line with slope 0 and passing through the point (3,5). Write the equation of line with undefined slope and passing through the point (-4,8). Write the equation of a horizontal line through the point (-1, 5). Unit 4 Writing Linear Equations 7

8 Unit 4 Writing Linear Equations 8

9 Slope-Intercept Form: Given Slope and a Point on the Line Slope Intercept Form: = m + b m: slope b: -intercept Point Slope Form: 1 = m ( 1 ) m: slope ( 1, 1 ): an point Eamples: Write the equation of line with slope 4 and passing through the point (-3, 8 ). Write the equation of line with slope -3/2 and passing through the point (-4, -8). Practice: Write the equation of line with slope -2 and passing through the point (5,7). Write the equation of line with slope 2/5 and passing through the point (10, -1). Unit 4 Writing Linear Equations 9

10 Eamples: Write the equation of line passes through (-6,4) and (4, -1). Write the equation of the line represented in the table below Practice: Write the equation of line passes through (-5,-6) and (0,-3). Write the equation of the line represented in the table below Continued Unit 4 Writing Linear Equations 10

11 Write the equation of line with undefined slope and passing through the point (4,-3). Write the equation of line with slope 0 and passing through the point (-2, 9). Write the equation of a vertical line through the point (-5, 0). Write the equation of a horizontal line through the point (-5, -2). Find the equation of a line that crosses the -ais at the point (0, 3) and has a rate of change of -4. Write the equation of line passes through (8,3) and (-4,-6). Write the equation of the line represented in the table below Write the equation of the line represented in the table below Unit 4 Writing Linear Equations 11

12 Unit 4 Writing Linear Equations 12

13 Point-Slope Form: Given Slope and a Point on the Line Slope Intercept Form: = m + b m: slope b: -intercept Point Slope Form: 1 = m ( 1 ) m: slope ( 1, 1 ): an point Eamples: Write the equation of line with slope 2/5 and passing through the point (7,-3). Write the equation of the line graphed below: m: point: (, ) m: point: (, ) Practice: Write the equation of line with slope -2/7 and passing through the point (-5, 8). Write the equation of the line graphed below: m: point: (, ) m: point: (, ) Unit 4 Writing Linear Equations 13

14 Eamples: Write the equation of line passes through (3,-8) and (-2,7). Write the equation of the line represented in the table below m: point: (, ) m: point: (, ) Graph the equation + 8 = -2( 9). A private music teacher charges $20 per hour, plus an additional cost for renting the room. If the teacher charged $95 total for 4 hours, which equation in point-slope form best represents this? A. 4 =20( 95) B. 95 =20( 4) C. 4 =95( 20) D. 20 =95( 4) Unit 4 Writing Linear Equations 14

15 Practice: Write the equation of line passes through (-1,-2) and (5,1). Write the equation of line passes through (4,5) and (-5,11). m: point: (, ) m: point: (, ) Graph the equation 1 = 3/4( 8). A pizza compan charges $12 per pizza, plus an additional cost for deliver. If the compan charged $52 total for 4 pizzas, which equation in point-slope form best represents this? A. + 4 =12( + 52) B =12( + 4) C. 4 =12( 52) D. 52 =12( 4) Write the equation of the line represented in the table below m: point: (, ) Unit 4 Writing Linear Equations 15

16 Slope-Intercept Form to Standard Form Slope Intercept Form: = m + b Standard Form: A + B = C Eamples: = 2 8 = 1/3 + 3 = -3/5 18 Standard form: Standard form: Standard form: -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) Unit 4 Writing Linear Equations 16

17 Practice: = 1/2 3 = -5/ = Standard form: Standard form: Standard form: -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) = 3/5 12 = -2/3 18 = 1/8 4 Standard form: Standard form: Standard form: -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) -int (, ) Unit 4 Writing Linear Equations 17

18 Unit 4 Writing Linear Equations 18

19 Etra Practice Slope Intercept Form: = m + b Standard Form: A + B = C Point Slope Form: 1 = m ( 1 ) Eamples: Write the equation of line passes through (-1,-2) and (5,1) in POINT-SLOPE form. Write the equation of the line represented in the table below in SLOPE-INTERCEPT form Write the equation of a vertical line through the point (-5, 0). Write the equation of line with -intercept (5,0) and -intercept (0,-4) in STANDARD form. Write the equation of line with slope 0 and passing through the point (-2, 9). Unit 4 Writing Linear Equations 19

20 START FINISH Unit 4 Writing Linear Equations 20

21 Slope-Intercept Form: Parallel and Perpendicular Lines Slope Intercept Form: = m + b Standard Form: A + B = C Point Slope Form: 1 = m ( 1 ) Parallel Slopes are! Perpendicular Slopes are! Eamples: A. = -3/2 3 B. = -2/3 3 C. = 3/2 + 4 D. = 2/3 + 4 Write the equation of the line parallel to the one in the table with a -intercept (0,-7) in SLOPE- INTERCEPT form Which of the equations is parallel to the line above? Which of the equations is perpendicular to the line above? Equation: Write the equation of a line perpendicular to = -7/3 + 9 with a -intercept of (0,-5/7) in STANDARD form. A line passes through the points (2,5) and (4,8). Write the equation of a line parallel to it with a - intercept of -5 in SLOPE-INTERCEPT form. Unit 4 Writing Linear Equations 21

22 Practice: Write the equation of the line perpendicular to the one in the table with a -intercept (0,4) in SLOPE-INTERCEPT form. A. = 1/2 2 B. = -1/2 2 C. = D. = Which of the equations is parallel to the line above? Equation: Which of the equations is perpendicular to the line above? Write the equation of a line parallel to =-5/6-3 and - intercept (0, 1/6) in STANDARD form. A line passes through the points (2,-5) and (5,7). Write the equation of a line perpendicular to it with a -intercept of 3 in SLOPE-INTERCEPT form. Write the equation of the line parallel to = -6+1 through the point (2,-5). Decide True or False about = is the slope -3 is the -intercept -3 is the -intercept -5 is the -intercept This graph has a shift UP from = There is a positive rate of change (0,-5) is a point on this line This graph has a negative slope Unit 4 Writing Linear Equations 22