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Due: 07 September 2011 Math 1090-002 31 August 2011 Section 1.3 Homework Instructions: Complete the following problems in the space provided. Please show your work; write down enough so that a classmate could follow the steps you’ve taken to arrive at the solution. You can earn up to 20 points on the assignment. 24. Find the slope and y-intercept of the line described by the equation 3x − 2y = 6. Then plot this line. (5 points) 1 Geometrically, two lines are called perpendicular if they intersect in a right angle. Algebraically, this corresponds to the property that the slopes m1 and m2 of the lines are the negative reciprocals of one another, i.e. m1 = − m12 and m2 = − m11 . For example, the lines y = 23 x − 5 and y = − 32 x + 1 are perpendicular since 32 = − (−13 ) and − 23 = − 12 . 2 3 Determine whether the following pairs of lines are parallel or perpendicular to one another (3 points each): 78. y = 4x − 5, 4y = 8 − x. 79. 2x − 7 = y, y − 2x = 8. 91. Write down the equation of the line that passes through the point (-2,2) and is perpendicular to the line x + 5y = 6. (4 points) 2 102. A building is purchased for $360,000 and after 5 years its value has depreciated to $270,000. Write a linear depreciation equation for this situation. Use your equation to predict the value of the building after 10 years have passed. (5 points) 3