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Determine whether the function is increasing or decreasing.

g ( x ) = x + 2

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Given each set of information, find a linear equation that satisfies the given conditions, if possible.

Passes through ( 7 , 5 ) and ( 3 , 17 )

y = 3 x + 26

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Given each set of information, find a linear equation that satisfies the given conditions, if possible.

x -intercept at ( 6 , 0 ) and y -intercept at ( 0 , 1 0 )

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Find the slope of the line shown in the line graph.

3

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Find the slope of the line graphed.

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Write an equation in slope-intercept form for the line shown.

y = 2 x 2

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Does the following table represent a linear function? If so, find the linear equation that models the data.

x –4 0 2 10
g ( x ) 18 –2 –12 –52
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Does the following table represent a linear function? If so, find the linear equation that models the data.

x 6 8 12 26
g ( x ) –8 –12 –18 –46

Not linear.

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On June 1 st , a company has $4,000,000 profit. If the company then loses 150,000 dollars per day thereafter in the month of June, what is the company’s profit n th day after June 1 st ?

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Graphs of Linear Functions

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular:

2 x 6 y = 12 x + 3 y = 1

parallel

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y = 1 3 x 2 3 x + y = 9

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For the following exercises, find the x - and y - intercepts of the given equation

7 x + 9 y = −63

( –9 , 0 ) ; ( 0 , –7 )

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For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?

  • Line 1: Passes through ( 5 , 11 ) and ( 10 , 1 )
  • Line 2: Passes through ( −1 , 3 ) and ( −5 , 11 )

Line 1: m = 2 ; Line 2: m = 2 ; Parallel

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  • Line 1: Passes through ( 8 , −10 ) and ( 0 , −26 )
  • Line 2: Passes through ( 2 , 5 ) and ( 4 , 4 )
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Write an equation for a line perpendicular to f ( x ) = 5 x 1 and passing through the point (5, 20).

y = 0.2 x + 21

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Find the equation of a line with a y - intercept of ( 0 ,   2 ) and slope 1 2 .

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Sketch a graph of the linear function f ( t ) = 2 t 5 .

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Find the point of intersection for the 2 linear functions: x = y + 6 2 x y = 13

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A car rental company offers two plans for renting a car.

  • Plan A: 25 dollars per day and 10 cents per mile
  • Plan B: 50 dollars per day with free unlimited mileage

How many miles would you need to drive for plan B to save you money?

250.

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Modeling with Linear Functions

Find the area of a triangle bounded by the y axis, the line f ( x ) = 10 2 x , and the line perpendicular to f that passes through the origin.

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A town’s population increases at a constant rate. In 2010 the population was 55,000. By 2012 the population had increased to 76,000. If this trend continues, predict the population in 2016.

118,000.

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The number of people afflicted with the common cold in the winter months dropped steadily by 50 each year since 2004 until 2010. In 2004, 875 people were inflicted.

Find the linear function that models the number of people afflicted with the common cold C as a function of the year, t . When will no one be afflicted?

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For the following exercises, use the graph in [link] showing the profit, y , in thousands of dollars, of a company in a given year, x , where x represents years since 1980.

Find the linear function y , where y depends on x , the number of years since 1980.

y = 3 00 x + 11 , 5 00

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Questions & Answers

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
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Renee
is a drug
Kamara
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Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
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Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
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Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
what's lochia albra
Kizito
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Source:  OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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