Section3_3.pdf - 3.3 Graphing Using Intercepts www.ck12.org...

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3.3. Graphing Using Interceptswww.ck12.org3.3Graphing Using InterceptsLearning Objectives• Find intercepts of the graph of an equation.• Use intercepts to graph an equation.• Solve real-world problems using intercepts of a graph.IntroductionOnly two distinct points are needed to uniquely define a graph of a line. After all, there are an infinite number oflines that pass through a single point (a few are shown in the graph at right). But if you supplied just one more point,there can only be one line that passes through both points. To plot the line, just plot the two points and use a ruler,edge placed on both points, to trace the graph of the line.There are a lot of options for choosing which two points on the line you use to plot it. In this lesson, we will focus ontwo points that are rather convenient for graphing: the points where our line crosses thexandyaxes, orintercepts.We will be finding intercepts algebraically and using them to quickly plot graphs. Similarly, thex-intercept occursat the point where the graph crosses thex-axis. Thex-value in the graph at the right is 6.126
www.ck12.orgChapter 3.Graphing Linear Equations

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