Algebra I: Graphing equations and inequalities
This is a free lesson from our course in Algebra I
In this lesson, you'll learn the basics of graphing. In simple terms, the graph of an equation is the set of all the points whose coordinates satisfy the equation. As you can guess, if the equation represents a line, you can draw the graph by connecting all points that satisfy the equation. But even if the equation does not represent a line, its graph can still be drawn by passing through all the points that would satisfy the equation. (More text below video...)
<h2>Algebra I - Graphing equations and inequalities</h2> <p>linear, equation, basics, solution, set, compute, inequility, solving, graph, line, point, number, greater than, less than, equal to, algebra help, online math, ordered pair, practice questions, quizzes</p> <p>The graph of an equation is the set of all the points whose coordinates satisfy the equation.</p>
Other useful lessons:
Rearranging equation into standard form (y=mx+b)
Determining the slope from equation of a line (y=mx+b)
Determining the y-intercept from equation of a line (y=mx+b)
Getting Started - Graph the solution set of a linear inequality
(Continued from above) The steps involved in drawing a graph are simple:
plug in values of x
compute y from the equation
plot the ordered pair given by these two values
repeat the three steps above till you have a set of points you can connect, and
draw the graph that connects them
Many times you'll have a statement such as x > 5 that needs to be graphed. Because this is not an equation, it does not need to be graphed on the coordinate plane. A number line does the job just fine! E.g. Graph: x < 4
Solution: The problem asks you to graph all numbers that are less than 4.
This part of lesson also shows us how to graph and find out the solution set of an inequality using graphs.
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