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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
.
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0 |
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4 |
1 |
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|
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
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what are the types of wave
Maurice
fine, how about you?
Mohammed
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
Who can show me the full solution in this problem?
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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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