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Resources

Slopes of parallel and perpendicular lines

b

\frac{4}{3}

c

is perpendicular to

b

. What is the slope of line

c

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

j

\frac{8}{9}

k

\frac{9}{8}

j

k

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

a

\frac{7}{5}

b

\frac{5}{7}

a

b

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

d

\frac{5}{7}

e

is perpendicular to

d

. What is the slope of line

e

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

q

\frac{8}{5}

r

\frac{8}{5}

q

r

parallel or perpendicular?

\newline

\newline

\newline

(B)perpendicular

\newline

a

\frac{7}{4}

b

\frac{4}{7}

a

b

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

c

\frac{2}{9}

d

is perpendicular to

c

. What is the slope of line

d

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

t

\frac{5}{9}

u

is parallel to line

t

. What is the slope of line

u

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

b

\frac{5}{4}

c

is perpendicular to

b

. What is the slope of line

c

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

j

\frac{3}{2}

k

\frac{3}{2}

j

k

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

b

\frac{5}{8}

c

is parallel to line

b

. What is the slope of line

c

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

p

\frac{5}{8}

q

is perpendicular to

p

. What is the slope of line

q

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

u

\frac{5}{6}

v

is parallel to line

u

. What is the slope of line

v

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

b

\frac{2}{9}

c

\frac{9}{2}

b

c

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

r

\frac{7}{6}

s

is perpendicular to

r

. What is the slope of line

s

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

e

\frac{6}{7}

f

\frac{7}{6}

e

f

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

g

\frac{9}{5}

h

is parallel to line

g

.What is the slope of line

h

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

j

\frac{4}{5}

k

\frac{4}{5}

j

k

parallel or perpendicular?

\newline

\newline

\newline

(B)perpendicular

\newline

j

\frac{9}{7}

k

\frac{7}{9}

j

k

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

s

\frac{9}{4}

t

\frac{9}{4}

s

t

parallel or perpendicular?

\newline

\newline

\newline

(B)perpendicular

\newline

e

\frac{8}{3}

f

\frac{8}{3}

e

f

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

a

\frac{9}{5}

b

\frac{9}{5}

a

b

parallel or perpendicular?

\newline

\newline

\newline

(B)perpendicular

\newline

g

\frac{6}{5}

h

\frac{2}{3}

g

h

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

e

\frac{7}{8}

f

\frac{7}{8}

e

f

parallel or perpendicular?

\newline

\newline

\newline

(B)perpendicular

\newline

q

\frac{8}{5}

r

\frac{7}{6}

q

r

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

f

\frac{9}{8}

g

is perpendicular to

f

. What is the slope of line

g

b

\frac{8}{5}

c

\frac{5}{8}

b

c

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

a

\frac{9}{5}

b

\frac{5}{9}

a

b

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

d

\frac{4}{7}

e

\frac{3}{2}

d

e

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

s

\frac{7}{5}

t

\frac{7}{5}

s

t

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

b

\frac{9}{8}

c

is parallel to line

b

. What is the slope of line

c

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

p

\frac{6}{5}

q

is parallel to line

p

. What is the slope of line

q

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

f

\frac{2}{9}

g

is parallel to line

f

. What is the slope of line

g

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

a

\frac{2}{3}

b

is parallel to line

a

. What is the slope of line

b

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

p

\frac{5}{7}

q

\frac{5}{7}

p

q

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

u

\frac{5}{4}

v

\frac{4}{5}

u

v

parallel or perpendicular?

\newline

\newline

\newline

(B) perpendicular

\newline

e

\frac{2}{3}

f

is perpendicular to

e

. What is the slope of line

f

r

\frac{8}{5}

s

is perpendicular to

r

. What is the slope of line

s

What happens to the value of the expression

\frac{80}{h}

h

increases from a small positive number to a large positive number?

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

What happens to the value of the expression

1+3 f

f

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of

\$ 25

\$ 0.10

for each vertical meter they descend.

\newline

y

represent the fee (in dollars) of a trip where they descended

x

vertical meters.

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

A lake near the Arctic Circle is covered by a

2

-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After

3

weeks, the sheet is only

1

25

\newline

y

represent the ice sheet's thickness (in meters) after

x

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

\ell

passes through the points

(2,2)

(4,10)

. What is the slope of line

\ell

\newline

1

\newline

-4

\newline

\frac{1}{4}

\newline

4

\newline

5

5 x+4 y=1

is graphed in the

x y

-plane. Which of the following is a true statement about the graph?

\newline

1

\newline

(A) The graph's

y

\frac{1}{5}

\newline

(B) The graph's

x

-\frac{1}{4}

\newline

(C) The graph has a slope of

-\frac{5}{4}

\newline

(D) The graph has a slope of

-\frac{4}{5}

\newline

(y-2)=\frac{1}{5}(x+5)

is graphed in the

x y

-plane. Which of the statements below is true of its graph?

\newline

1

\newline

(A) The graph has a slope of

-5

y

5

\newline

(B) The graph has a slope of

-5

and passes through the point

(2,-5)

\newline

(C) The graph has a slope of

\frac{1}{5}

and passes through the point

(-5,2)

\newline

D The graph has a slope of

\frac{1}{5}

y

5

-x-2 y=0

is graphed in the

x y

-plane. Which of the following is a true statement about the graph?

\newline

1

\newline

A The graph goes through the point

(-1,2)

\newline

B The graph has a slope of

2

\newline

(C) The graph goes through the point

(0,0)

\newline

D The graph has a slope of

\frac{1}{2}

\frac{x}{2.6}-\frac{y}{7.8}=1

x y

-plane is a line. Which of the following is true about this line?

\newline

1

\newline

(A) The graph's

x

2

6

y

7

8

\newline

(B) The graph's

x

2

6

y

-7

8

\newline

(C) The graph has a slope of

2

6

\newline

D The graph has a slope of

7

8

Which of the following is true of the graph of

\frac{y}{9}-\frac{x}{6}=1

x y

\newline

1

\newline

(A) The graph's

x

-6

y

9

\newline

(B) The graph's

x

9

y

-6

\newline

(C) The graph is a line with a slope of

\frac{2}{3}

\newline

D The graph is a line with a slope of

-\frac{3}{2}

The graph of a line in the

x y

-plane passes through the points

(2,3)

(4,6)

. The graph of a second line has a slope of

6

and contains the point

(1,15)

. If the two lines intersect at the point

(a, b)

, what is the value of

a b

\newline

1

\newline

-6

\newline

6

\newline

15

\newline

24

The graph of a line in the

x y

-plane has a slope of

1

and contains the point

(3,0)

. The graph of a second line has a slope of

-\frac{1}{4}

and contains the point

(-7,0)

. If the two lines intersect at the point

(a, b)

, what is the value of

a+b

\newline

1

\newline

-8

\newline

-5

\newline

-2

\newline

-1