5.5 Parallel and Perpendicular Lines

For 1 and 2, answer the question using the given equation y = 2

5

x -2.

1) What is the slope of a line that would be parallel to the above equation? ____________

2) What is the slope of a line that would be perpendicular to the above equation? ____________

For 3 and 4, determine if the lines are parallel, perpendicular, or neither.

3) 2 5 3 4 10 20 x y and x y 4)

For 5 and 6, write an equation of the line that passes through the given point and is perpendicular

to the given line. Write one equation in Slope-Intercept Form and another in Point-Slope Form.

5) (-6, 7), y = 1

4

x - 1 6) (2, 9), 4x + y = 3

4.4 Standard Form

For 7 and 8, find the missing coefficient in the equation of the line that passes through the given

point. Write the completed equation.

7) -4x + By = 7, (-1, 1) 8) Ax + y = -3, (2, 11)

5.4 & 5.5 Review

# 9 Solve a multi-step problem.

Your class is taking a trip to the public library. You can travel in small and large vans. A small van

holds 8 people and a large van holds 12 people. Your class could fill 15 small vans and 2 large vans.

a) Define your variables.

b) Find the number of people in your class. (Note: you will be using this number for the rest of

the problem!)

c) Write an equation in standard form that models the

possible combinations of small vans and large vans

that your class could fill.

d) Graph the equation in part (a).

e) List several possible combinations.

# 10 As the student council treasurer, you prepare the budget for your class rafting trip. Each large

raft costs $100 to rent, and each small raft costs $40 to rent. You have $1600 to spend.

a) Define your variables.

b) Write an equation in standard form that models the

possible combinations of small rafts and large rafts that you

can rent.

c) Graph the equation from part (b)

List several possible combinations.