5. Determine the slope of a line that is perpendicular to the line through W( 9, 7) and X(6, 10). a. c. 15
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1 Math 101 Chapter 6 Review Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Determine the slope of this line segment. A x 0 B. Determine the slope of the line that passes through G(, ) and H( 5, 9). a.. Is the slope of this line segment positive, negative, zero, or not defined? 8 S x 8 T a. zero not defined positive negative. A line has x-intercept and -intercept 6? Determine the slope of the line. a Determine the slope of a line that is perpendicular to the line through W( 9, ) and X(6, 10)
2 1 6. The slope of a line is. What is the slope of a line that is parallel to this line? a.. Write an equation for the graph of a linear function that has slope and -intercept. 8. For a service call, a plumber charges a $95 initial fee, plus $5 for each hour he works. Write an equation to represent the total cost, C dollars, for t hours of work. 9. Determine the slope and -intercept of this graph. 0 x a. slope: ; -intercept: 1.5 slope: ; -intercept: 1.5 slope: 1.5; -intercept: slope: ; -intercept: Which equations represent perpendicular lines? a.,,,, 11. Describe the graph of the linear function with this equation: a. The graph is a line through (, ) with slope. The graph is a line through (, ) with slope. The graph is a line through (, ) with slope. The graph is a line through (, ) with slope.
3 1. Write an equation for the graph of a linear function that has slope and passes through S(, 5). a. 1. Write an equation in slope-point form for this line. 0 x 1. Write this equation in slope-intercept form: 15. Determine the -intercept of the graph of this equation: a. 16. Write an equation in slope-point form for the line that passes through A(, ) and B( 9, 6). 1. Write an equation for the line that passes through U(, ) and is perpendicular to the line.
4 18. In which form is the equation written? a. Standard form General form Slope-intercept form Slope-point form 19. Write this equation in general form: 0. Write this equation in general form: 1. Determine the x-intercept and the -intercept for the graph of this equation: a. x-intercept: 18; -intercept: 1 x-intercept: 18; -intercept: x-intercept: ; -intercept: x-intercept: ; -intercept: 1. Which graph represents the equation? 0 x 0 x 0 x 0 x. Determine the slope of the line with this equation: a.. Write this equation in slope-intercept form: a. 10 = x + 10 = x + 10 = x 10 = x
5 Short Answer 5. The coordinates of the endpoints of segments are given below. Are the two line segments parallel, perpendicular, or neither? a) R(, 8), S( 1, ) and T(, 1), U(9, ) b) F(, 8), G(, 1) and V(, 10), W(1, ) 6. Write this equation in general form:. Write this equation in general form: 8. Determine the slope of the line of this equation: 9. a) Determine the x- and -intercepts of the graph of this equation: b) Graph the equation. Problem 0. Reggie sas FGHJ is a parallelogram. Ann sas FGHJ is a rectangle. Who is correct? Justif our answer. G H 0 x F J 1. Francine runs a T-shirt compan. For each order she receives, Francine charges a flat fee of $50, plus $8.95 per T-shirt. a) Write an equation for the total cost, C dollars, for ordering n T-shirts. b) Marnell ordered 6 T-shirts. What was the total cost? c) Jakub paid a total cost of $ How man T-shirts did he order?. What is the value of k such that the line passing through and is parallel to the line?. Write the equation of the line in slope intercept form that passes through (, 9) and ( 1, 11).
6 . Determine the line in slope intercept form that passes through ( 8, ) and is perpendicular to. 5. Suppose the grade or slope to a hill on the highwa is a.5 ft rise for ever 80 ft. horizontall. (a) What is the slope or grade of the hill? (b) If the hill has a change in elevation of 10 ft. then, use our answer from (a) to determine the horizontal change?
7 Math 101 Chapter 6 Review Answer Section MULTIPLE CHOICE 1. ANS: B. ANS: D. ANS: C. ANS: C 5. ANS: D 6. ANS: C. ANS: B 8. ANS: C 9. ANS: A 10. ANS: B 11. ANS: B 1. ANS: D 1. ANS: A 1. ANS: B 15. ANS: C 16. ANS: C 1. ANS: C 18. ANS: C 19. ANS: A 0. ANS: C 1. ANS: D. ANS: C. ANS: A. ANS: B SHORT ANSWER 5. a) Neither b) Perpendicular a) x-intercept: 8 -intercept: 5 9.b) x 8 1 PROBLEM 0. A parallelogram has opposite sides equal. To check whether FGHJ is a parallelogram, determine whether opposite sides are parallel. Write the coordinates of the vertices: F( ), G( ), H( ), J( ), The slope of GH is. The slope of FJ is. The slope of HJ is. The slope of GF is. The slopes of opposite sides are equal, so FGHJ is a parallelogram. A rectangle has angles that are right angles. To check whether FGHJ is a rectangle, determine whether two intersecting sides are perpendicular. Determine whether GF is perpendicular to GH. The slope of GF is. The slope of GH is. Since the slopes of GF and GH are not negative reciprocals, GF and GH are not perpendicular. This means that FGH is not a right angle and that FGHJ is not a rectangle. So, Reggie is correct. 1. a) The flat fee is: $50. When n T-shirts are ordered, the additional cost is: 8.95n dollars So, an equation is: b) The total cost was $ c) Jakub ordered 10 T-shirts.. k =. = x. 5.(a) (b). ft.
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