The Intercept Method
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Students learn to graph a given linear equation using the intercept method. The x-intercept is the point on the graph where the line crosses the x-axis, so the x-intercept will always have a y-coordinate of 0, and the y-intercept is the point on the graph where the line crosses the y-axis, so the y-intercept will always have an x-coordinate of 0. So to graph x + 2y = 6 using the intercept method, substitute a 0 in for y to find the x-intercept, to get x + 2(0) = 6, or x = 6. So the x-intercept is (6, 0). And substitute a 0 in for x to find the y-intercept, to get (0) + 2x = 6, or x = 3. So the y-intercept is (0, 3). Next, plot the intercepts, (6, 0) and (0, 3), and connect these points with a line.