56) How do you put an equation that is in standard form, Ax By C, into slope-intercept form? Each of the following equations is in slope-intercept form. Identify the slope and the y-intercept, then graph each line using this information. 57) y 2 5 x 6 58) y 7 4 x 2 59) y 5 3 x 4 60) y 1 2 x 5 61) y 3 4 x 1 62) y 2 3 x 3 63) y 4x 2 64) y 3x 1 65) y x 5 66) y x 67) y 3 2 x 1 2 68) y 3 4 x 5 2 69) y 2 70) y 4 Put each equation into slope-intercept form, if possible, and graph. 71) x 3y 6 72) 5x 2y 2 73) 12x 8y 32 74) y x 1 75) x 9 2 76) 5 x 2 77) 18 6y 15x 78) 20x 48 12y 79) y 0 80) y 6 1 81) Dave works in sales, and his income is a combination of salary and commission. He earns $34,000 per year plus 5% of his total sales. The equation I 0.05s 34,000 represents his total annual income, I, in dollars, when his sales total s dollars. Dave’s Income 20 40 60 80 100 Sales (in thousands) 40 39 38 37 36 35 34 33 32 31 30 Income (in thousands) S I a) What is the I-intercept? What does it mean in the context of this problem? b) What is the slope? What does it mean in the context of the problem? 36) The graph shows the approximate number of babies (in thousands) born to teenage girls from 19972001. (www.census.gov) x y Number of Births 2000 2001 1999 Year Number (in thousands) 500 490 480 470 460 450 440 430 420 1997 1998 a) Approximately how many babies were born to teen mothers in 1997? in 1998? in 2001? b) Without computing the slope, determine whether it is positive or negative. c) What does the sign of the slope mean in the context of the problem? d) Find the slope of the line segment, and explain what it means in the context of the problem. Objective 5: Use Slope and One Point on a Line to Graph a Line Graph the line containing the given point and with the given slope. 37) (3, 2); m 5 2 38) (1, 3); m 1 4 39) (1, 4); m 1 3 40) (4, 2); m 2 7 41) (4, 5); m 2 3 42) (2, 1); m 3 2 43) (5, 1); m 3 44) (3, 5); m 2 45) (0, 3); m 1 46) (0, 4); m 3 47) (6, 2); m 4 48) (2, 5); m 1 49) (2, 1); m 0 50) (3, 3); m 0 51) (4, 0); slope is undefi ned 52) (1, 6); slope is undefi ned 53) (0, 0); m 1 54) (0, 0); m 1 Objective 6: Graph a Line Using Slope and y-Intercept 55) The slope-intercept form of a line is y mx b. What is the slope? What is the y-intercept? 168 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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