-
Home
- 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 |
|
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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
it is the relatively stable flow of income
what is circular flow of income
branches of macroeconomics
what is Flexible exchang rate?
is gdp a reliable measurement of wealth
introduction to econometrics
Why is unemployment rate never zero at full employment?
bcoz of existence of frictional unemployment in our economy.
Umashankar
what is flexible exchang rate?
poudel
due to existence of the pple with disabilities
Abdulraufu
the demand of a good rises, causing the demand for another good to fall
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Waeth
discus major problems of macroeconomics
what is the problem of macroeconomics
Yoal
Economic growth
Stable prices
and low unemployment
Ephraim
explain inflationcause and itis degre
increase in general price levels
WEETO
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
how to calculate actual output?
Chisomo
how to calculate the equilibrium income
Beshir
Criteria for determining money supply
who we can define macroeconomics in one line
Muhammad
Aggregate demand
Mohammed
C=k100 +9y and i=k50.calculate the equilibrium level of output
nawalparasi district
from belatari
Amisha
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.
if interest rate is increased this will will reduce the level of income shifting the curve to the left ◀️
Kalombe
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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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