-
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- Elementary algebra
- Graphs
- Use the slope–intercept form of
Key concepts
- The slope–intercept form of an equation of a line with slope
and
y -intercept,
is,
.
-
Graph a Line Using its Slope and
y -Intercept
- Find the slope-intercept form of the equation of the line.
- Identify the slope and
y -intercept.
- Plot the
y -intercept.
- Use the slope formula
to identify the rise and the run.
- Starting at the
y -intercept, count out the rise and run to mark the second point.
- Connect the points with a line.
-
Strategy for Choosing the Most Convenient Method to Graph a Line: Consider the form of the equation.
- If it only has one variable, it is a vertical or horizontal line.
is a vertical line passing through the
x -axis at
.
is a horizontal line passing through the
y -axis at
.
- If
is isolated on one side of the equation, in the form
, graph by using the slope and
y -intercept.
Identify the slope and
y -intercept and then graph.
- If the equation is of the form
, find the intercepts.
Find the
x - and
y -intercepts, a third point, and then graph.
- Parallel lines are lines in the same plane that do not intersect.
- Parallel lines have the same slope and different
y -intercepts.
- If
m
1 and
m
2 are the slopes of two parallel lines then
- Parallel vertical lines have different
x -intercepts.
- Perpendicular lines are lines in the same plane that form a right angle.
- If
are the slopes of two perpendicular lines, then
and
.
- Vertical lines and horizontal lines are always perpendicular to each other.
Practice makes perfect
Recognize the Relation Between the Graph and the Slope–Intercept Form of an Equation of a Line
In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation
.
Identify the Slope and y-Intercept From an Equation of a Line
In the following exercises, identify the slope and y-intercept of each line.
Graph a Line Using Its Slope and Intercept
In the following exercises, graph the line of each equation using its slope and y-intercept.
Choose the Most Convenient Method to Graph a Line
In the following exercises, determine the most convenient method to graph each line.
Graph and Interpret Applications of Slope–Intercept
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. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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