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3.1 Graph using Intercepts Objective: Graph a linear equation using intercepts and by making a table Intercept x- intercept - where the line crosses the x-axis y-intercept - where the line crosses the y-axis Page 154 example 2 Page 155 Example 3 Draining a Pool Time (h) Volume (gal) X Y 0 10,080 2 8640 6 5760 10 2880 12 1440 14 0 A swimming pool is being drained at a rate of 720 gallons per hour. The table shows the function relating the volume of water in a pool and the time in hours that the pool has been draining. Page 157 #5 and 6 Finding the x- intercept 1) Substitute 0 for y 2) Then solve for x 3) (x, 0) Finding the y-intercept 1) Substitute 0 for x 2) Then solve for y 3) (0, y) Find the x and y intercepts Then graph the line 3x+ 2y= 6 Find the x and y intercepts Then graph the line y=x+3 Find the x and y intercepts Then graph the line y= 1x+2 3 p. 159 #50 An amusement parks charges $50 for admission before 6pm and $20 for admission after 6pm. On Saturday, the park took in a total of $20,000. a) Write an equation that represents the number of admissions that may have been sold. Let x represent the number of admissions sold before 6pm, and let y represent the number of admission sold after 6pm. b) Graph the equation c) Find the x- and y-intercepts of the graph. What does each intercept represent Journal Can a line only have one intercept or must it always have an x-intercept and a y-intercept? Homework Page 157-158 #’s 19-34 odd