-
Home
- 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
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AI-Robot
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AI-Robot
HOW CAN MAN ORGAN FUNCTION
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Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
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Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
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Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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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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