YOU TRY 5 Graph each line using its slope and y-intercept. a) y 2 5 x 3 b) y x c) 8x 4y 12 Summary Methods for Graphing a Line We have learned that we can use different methods for graphing lines. Given the equation of a line we can 1) make a table of values, plot the points, and draw the line through the points. 2) fi nd the x-intercept by letting y 0 and solving for x, and fi nd the y-intercept by letting x 0 and solving for y. Plot the points, then draw the line through the points. 3) put the equation into slope-intercept form, y mx b, identify the slope and y-intercept, then graph the line. Using Technology When we look at the graph of a linear equation, we should be able to estimate its slope. Use the equation y x as a guideline. Step 1: Graph the equation y x. We can make the graph a thick line (so we can tell it apart from the others) by moving the arrow all the way to the left and hitting ENTER: Step 2: Keeping this equation, graph the equation y 2x: a) Is the graph steeper or fl atter than the graph of y x? b) Make a guess as to whether y 3x will be steeper or fl atter than y x. Test your guess by graphing y 3x. Step 3: Clear the equation y 2x, and graph the equation y 0.5x: a) Is the graph steeper or fl atter than the graph of y x? b) Make a guess as to whether y 0.65x will be steeper or fl atter than y x. Test your guess by graphing y 0.65x. 164 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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