-
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
Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
can you send the book attached ?
Ariel
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2
find mu of x for y
U(x,y) = (xÃy)1/2
find mu of x for y
Desalegn
this is the study of how the society manages it's scarce resources
Belonwu
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
difference between firm and industry
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from
Qd 120 3P
to
Qd 90 3P
and the supply function has shifted from
QS
20 2P
to
QS
10 2P .
a) Find the effect of this change on price and quantity.
b) Which of the changes in demand and supply is higher?
explain standard reason why economic is a science
factors influencing supply
scares
means__________________ends
resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Why qualify 28 supplies
Milan
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
identify a demand and a supply curve
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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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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