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