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Download the OpenStax text for free at http://anx.org/contentcolt 175 latest SECTION 2.1 THE RECTANGULAR COORDINATE SYSTEMS AND GRAPHS 79 Finding x-intercepts and y-intercepts The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we sety equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3x - 1. To find the x-intercept, set y = 0. y = 3x - 1 0 = 3x - 1 1 = 3x =* x-intercept To find the y-intercept, set x=0. y = 3x - 1 y=3(0) - 1 y=-1 (0, -1) y-intercept We can confirm that our results make sense by observing a graph of the equation as in Figure 11. Notice that the graph crosses the axes where we predicted it would ...
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