-
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- Elementary algebra
- Graphing linear equations and
- The slope-intercept form of a
The following equations
are not in slope-intercept form:
Practice set a
The following equation are in slope-intercept form. In each case, specify the slope and
.
Slope and intercept
When the equation of a line is written in slope-intercept form, two important properties of the line can be seen: the
slope and the
intercept . Let's look at these two properties by graphing several lines and observing them carefully.
Sample set b
Graph the line
.
|
|
|
0 |
|
|
4 |
1 |
|
|
|
|
Looking carefully at this line, answer the following two questions.
Place your pencil at any point on the line. Move your pencil exactly
one unit horizontally to the right. Now, how many units straight up or down must you move your pencil to get back on the line? Do you see this number in the equation?
After moving horizontally one unit to the right, we must move exactly one vertical unit up. This number is the coefficient of
.
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Graph the line
.
|
|
|
0 |
1 |
|
3 |
3 |
|
|
|
|
Looking carefully at this line, answer the following two questions.
Place your pencil at any point on the line. Move your pencil exactly
one unit horizontally to the right. Now, how many units straight up or down must you move your pencil to get back on the line? Do you see this number in the equation?
After moving horizontally one unit to the right, we must move exactly
unit upward. This number is the coefficient of
.
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Practice set b
Looking carefully at this line, answer the following two questions.
At what number does the line cross the
? Do you see this number in the equation?
The line crosses the
at
. After moving horizontally 1 unit to the right, we must move exactly 3 units downward.
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Place your pencil at any point on the line. Move your pencil exactly
one unit horizontally to the right. Now, how many units straight up or down must you move your pencil to get back on the line? Do you see this number in the equation?
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In the graphs constructed in Sample Set B and Practice Set B, each equation had the form
. We can answer the same questions by using this form of the equation (shown in the diagram).
-intercept
At what number does the line cross the
? Do you see this number in the equation?
In each case, the line crosses the
at the constant
. The number
is the number at which the line crosses the
, and it is called the
. The ordered pair corresponding to the
is
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Place your pencil at any point on the line. Move your pencil exactly
one unit horizontally to the right. Now, how many units straight up or down must you move your pencil to get back on the line? Do you see this number in the equation?
To get back on the line, we must move our pencil exactly
vertical units.
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Questions & Answers
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
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
Omeprazole
Cimetidine / Tagament
For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
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
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
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?
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
how does the stomach protect itself from the damaging effects of HCl
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
function of digestive
Ali
what is the normal body temperature
please why 37 degree selcius normal temperature
Mark
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
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
how does Lysin attack pathogens
Diya
I information on anatomy position and digestive system and there enzyme
anatomy of the female external genitalia
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Source:
OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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