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1 2 3 4 Warm Up 1. What is the slope of the line whose equation is y = -2(x + 4) + 3? 2. Find the slope of the line that passes through the points (3, -2) and (5, 0). Simplify 3. 4. 5 Warm Up 1. What is the slope of the line whose equation is y = -2(x + 4) + 3? 6 Warm Up 2. Find the slope of the line that passes through the points (3, -2) and (5, 0). 7 Warm Up Simplify 3. 4. 8 Standard 6.2 Proficient: Write equations of lines in any form from graphical, numerical, and contextual representations including writing equations of parallel and perpendicular lines 9 10 Writing Linear Equations 1 The table below shows the cost of joining a BMX racing club for different numbers of races. Can the situation be modeled by a linear equation? Number Amount of Races Paid 1 $65 2 $80 3 $95 4 $110 5 $125 Write an equation in (modified) point-slope form and then in slope-intercept form that best represents the data 11 12 Writing Linear Equations 2a Write an equation that represents the linear function shown in the table. x f(x) 1 4 3 8.8 7 18.4 8 20.8 Write an equation in (modified) point-slope form and then in slope-intercept form that best represents the data 13 Writing Linear Equations 2b Write an equation that represents the linear function shown in the mapping diagram. -5 -2 2 7 -26 -14 2 22 Write an equation in (modified) point-slope form and then in slope-intercept form that best represents the data 14 3 Writing Linear Equations During the period 1994 - 2004, the annual sales of a small company increased by $10,000 per year. In 1997 the annual sales were $97,000. Write an equation in (modified) point-slope form and then in slope-intercept form that gives the annual sales as a function of the number of years since 1994. Find the sales in 2000. 15 4 Writing Linear Equations You are helping your mother plan a birthday dinner for your grandfather. The restaurant charges $80 for a private room fee and $35 per plate. Write an equation that gives the total cost as a function of the number of people. How much would it cost for a private party of 10 people to eat at this restaurant? 16 5a Writing Linear Equations You want to earn $1000 teaching children how to swim. You earn $10 per hour for individual instruction and $25 per hour for instructing groups. By knowing how to write equations in standard form, you can determine the possible combinations of hours of individual and group instruction that will result in $1000 in earning. --> Graph the equation using intercepts to determine several possible solutions 17 18 5a Writing Linear Equations Ax + By = C Number of group lessons You want to earn $1000 teaching children how to swim. You earn $10 per hour for individual instruction and $25 per hour for instructing groups. By knowing how to write equations in standard form, you can determine the possible combinations of hours of individual and group instruction that will result in $1000 in earning. Earnings from Swim Lessons (0, 40) move to see (25, 30) completed graph with (50, 20) possible solutions (75, 10) (100, 0) Number of individual lessons Graph the equation using intercepts to determine several possible solutions 19 5b Writing Linear Equations Several classes are taking a trip to the public library. You can travel in small and large vans. A small van holds 8 people and a large van holds 12 people. If there are 144 students going, write an equation in standard form that models the possible combinations of small vans and large vans that your class could fill. move to see completed graph with possible solutions Number of large vans Trip to Library (0, 12) (6, 8) (12, 4) (18, 0) Number of small vans 20 Writing Linear Equations Classwork: 6.2 Writing Equations from Word Problems Homework: 6.2 Writing Equations from Word Problems 21