(4.2) Determine the slope of each line. 27) x y 5 5 5 5 28) x y 5 5 5 5 Use the slope formula to find the slope of the line containing each pair of points. 29) (1, 7) and (4, 2) 30) (2, 3) and (3, 1) 31) (2, 5) and (3, 8) 32) (0, 4) and (8, 2) 33) a3 2 , 1b and a 5 2 , 7b 34) (2.5, 5.3) and (3.5, 1.9) 35) (9, 0) and (9, 4) 36) (7, 4) and (1, 4) 37) Paul purchased some shares of stock in 2008. The graph shows the value of one share of the stock from 2008–2012. Value of One Share of Stock 46 44 42 40 38 36 34 32 2008 2009 2010 Year 2011 2012 Value (in dollars) a) What was the value of one share of stock the year that Paul made his purchase? b) Is the slope of the line segment positive or negative? What does the sign of the slope mean in the context of this problem? c) Find the slope. What does it mean in the context of this problem? Plot the ordered pairs on the same coordinate system. 11) a) (5, 2) b) (3, 0) c) (4, 3) d) (6, 2) 12) a) (0, 1) b) (2, 5) c) a5 2 , 1b d) a4, 1 3 b 13) The fi ne for an overdue book at the Hinsdale Public Library is given by y 0.10x where x represents the number of days a book is overdue and y represents the amount of the fi ne, in dollars. a) Complete the table of values, and write the information as ordered pairs. x y 1 2 7 10 b) Label a coordinate system, choose an appropriate scale, and graph the ordered pairs. c) Explain the meaning of the ordered pair (14, 1.40) in the context of the problem. 14) Fill in the blank with positive, negative, or zero. a) The y-coordinate of every point in quadrant III is . b) The x-coordinate of every point in quadrant IV is . Complete the table of values, and graph each equation. 15) y 2x 3 16) 3x 2y 4 x y 0 1 2 2 x y 0 2 1 4 Graph each equation by finding the intercepts and at least one other point. 17) x 2y 6 18) 5x y 10 19) y 1 6 x 4 20) y 3 4 x 7 21) x 5 22) y 3 Find the midpoint of the line segment with the given endpoints. 23) (3, 8) and (5, 2) 24) (6, 1) and (2, 1) 25) (7, 3) and (6, 4) 26) a2 3 , 1 4 b and a 1 6 , 5 8 b 222 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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