4.3 Exercises Do the exercises, and check your work. Objective 1: Write an Equation of a Line Given Its Slope and y-Intercept 1) Explain how to fi nd an equation of a line when you are given the slope and y-intercept of the line. 2) Is 2 3 x y 5 in standard form? Explain your answer. Find an equation of the line with the given slope and y-intercept. Express your answer in the indicated form. 3) m 7, y-int: (0, 2); slope-intercept form 4) m 4, y-int: (0, 5); slope-intercept form 5) m 1, y-int: (0, 3); standard form 6) m 2, y-int: (0, 8); standard form 7) m 1 3 , y-int: (0, 4); standard form 8) m 5 2 , y-int: (0, 1); standard form 9) m 1, y-int: (0, 0); slope-intercept form 10) m 4 9 , y-int: a0, 1 6 b; slope-intercept form Objective 2: Use the Point-Slope Formula to Write an Equation of a Line Given Its Slope and a Point on the Line 11) a) If (x1, y1) is a point on a line with slope m, then the point-slope formula is . b) Explain how to fi nd an equation of a line when you are given the slope and a point on the line. Find an equation of the line containing the given point with the given slope. Express your answer in the indicated form. 12) (5, 8), m 3; slope-intercept form 13) (1, 6), m 5; slope-intercept form 14) (3, 2), m 2; slope-intercept form 15) (9, 4), m 1; slope-intercept form 16) (3, 7), m 1; standard form 17) (2, 1), m 4; standard form 18) (2, 3), m 4 5 ; slope-intercept form 19) (4, 5), m 1 6 ; slope-intercept form 20) (2, 0), m 5 8 ; standard form 21) (6, 0), m 5 9 ; standard form 22) a1 6 , 1b , m 4; slope-intercept form Objective 3: Use the Point-Slope Formula to Write an Equation of a Line Given Two Points on the Line 23) Explain how to fi nd an equation of a line when you are given two points on the line. Find an equation of the line containing the two given points. Express your answer in the indicated form. 24) (2, 5) and (4, 1); slope-intercept form 25) (3, 4) and (7, 8); slope-intercept form 26) (3, 2) and (4, 5); slope-intercept form 27) (2, 4) and (1, 3); slope-intercept form 28) (5, 2) and (2, 4); slope-intercept form 29) (1, 5) and (3, 2); standard form 30) (4, 1) and (6, 3); standard form 31) (3, 0) and (5, 1); standard form 32) (2, 1) and (4, 6); standard form 33) (2.5, 4.2) and (3.1, 7.2); slope-intercept form 34) (3.4, 5.8) and (1.8, 3.4); slope-intercept form Mixed Exercises: Objectives 1–4 Write the slope-intercept form of the equation of each line, if possible. 35) x y 5 5 5 5 (2, 1) (0, 4) 182 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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