Download Writing Linear Equations - Parkway C-2

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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.
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Warm Up
1. What is the slope of the line whose equation
is y = -2(x + 4) + 3?
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Warm Up
2. Find the slope of the line that passes
through the points (3, -2) and (5, 0).
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Warm Up
Simplify
3.
4.
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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
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Writing Linear Equations
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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
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Writing Linear Equations
2a Write an equation that represents the
linear function shown in the table.
x
f(x)
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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
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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
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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.
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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?
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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.
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Graph the equation using intercepts
to determine several possible
solutions
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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
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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
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Writing Linear Equations
Classwork: 6.2 Writing Equations from Word
Problems
Homework: 6.2 Writing Equations from
Word Problems
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