Free Printable Linear Relationships

1.

Is this table proportional or non-proportional?

On DESMOS Use y1~mx1+b

Then insert table with points

a)

Proportional

b)

Non-Proportional

2.

Write the equation for the table given.

On DESMOS Use y1~mx1+b

Then insert table with points

(slope or "m" is always next to a letter and y intercept or "b' is always alone)

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

d)

y=x

3.

Identify the constant of proportionality (K or m)

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

4.

This equation does not show a proportional relationship. Why?

a)

Doesn't go through point of origin (0,0)

b)

Not a straight line

5.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

6.

Find the slope "m" of the line.

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

-2

b)

2

c)

-1

d)

1

7.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

8.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

9.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

10.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

11.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

12.

Find the slope of the line.

a)

-2/1

b)

2/1

c)

-1/2

d)

1/2

13.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

14.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

15.

Find the slope of the line.

a)

-1

b)

1

c)

1/2

d)

-1/2

16.

Find the slope of the line.

a)

2/7

b)

-2/7

c)

7/2

d)

-7/2

17.

What is the slope of the line?

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

-2

18.

Find the slope of the line.

a)

undefined

b)

1

c)

0

d)

-1

19.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

20.

Determine the slope.

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

-5

b)

5

c)

-1/5

d)

1/5

21.

Determine the slope from the table.

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

-2

b)

2

c)

-1/2

d)

1/2

22.

Determine the slope.

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

-3

b)

3

c)

-1/3

d)

1/3

23.

Find the slope of the line that passes through: (6,7) and (4,2)

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

24.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

25.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

26.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

27.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

28.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

29.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

30.

Which point is at (6,0)

a)

Point A

b)

Point B

c)

Point C

d)

Point D

31.

What is the ordered pair of Point E?

a)

(4,7)

b)

(3,7)

c)

(7,4)

d)

(7,3)

32.

What is the ordered pair for the letter B?

a)

(4,3)

b)

(4,8)

c)

(5,3)

d)

(8,4)

33.

What is the vocabulary word for the horizontal line at the bottom of the coordinate plane?

a)

X-axis

b)

Y-axis

c)

Origin

d)

Ordered pair

34.

What is the vocabulary word for the vertical line on the left of the coordinate plane?

a)

X-axis

b)

Y-axis

c)

Origin

d)

Coordinate Plane

35.

In an ordered pair, the (a) number is called the y-coordinate.

Choose from the below words

second

first

both

neither

36.

Name the ordered pair for point C.

a)

(3,4)

b)

(4,3)

c)

(3,7)

d)

(4,7)

37.

Which shape is in Quadrant I?

a)

b)

c)

d)

38.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

39.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

40.

Plot the following coordinates (you will have five coordinates plotted).

(4,4) (6,2) (0,8) (10,0) and (8,6)

41.

Plot the following coordinates. (There are 3 coordinates plotted).

(0,0) (9,1) and (6,7)

42.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

43.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

44.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

45.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

46.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

47.

What is the y-intercept?

a)

3

b)

2

c)

1

d)

0

48.

Write the equation for the line in slope-intercept form.

Use Desmos

y1~mx1+b

Then insert table with 2 points

(slope 'm' will always be next to x and y intercept 'b' is by itself)

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

49.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

50.

which equation produces the line on the graph

Use Desmos

y1~mx1+b

Then insert table with 2 points

(slope 'm' will always be next to x and y intercept 'b' is by itself)

a)

y = x + 3

b)

y = 3x - 3

c)

y = -x - 3

d)

y = -3x + 3

51.

a)

b=2

b)

m=3

c)

b=-3

d)

m=-2

52.

a)

b=1

b)

b=-1

c)

m=1

d)

b=4

53.

a)

b=2

b)

b=4

c)

m=4

d)

b=1

54.

a)

b=0

b)

b=-1

c)

b=1

d)

b=8

55.

a)

m=3

b)

b=-3

c)

b=2

d)

m=-2

56.

a)

b=2

b)

b=-2

c)

b=0

d)

b=1

57.

In the equation, y=2x+6, the 6 is the...

a)

slope

b)

y-intercept

c)

x-axis

d)

y-axis

58.

In the equation y=2x+6, the 2 is the...

a)

slope

b)

y-intercept

c)

x-axis

d)

y-axis

59.

What letter is associated with slope?

a)

y

b)

m

c)

x

d)

b

60.

What letter is associated with the y-intercept?

a)

y

b)

m

c)

x

d)

b

61.

Find the coordinate pair.

a)

(3,2)

b)

(-3,-3)

c)

(4,-2)

d)

(3,3)

62.

Find the coordinate pair.

a)

(-3,2)

b)

(3,3)

c)

(3,2)

d)

(2,2)

63.

y -intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

crosses each other

64.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

65.

What is the y-intercept of the line?

a)

(0, 3)

b)

(0, -3)

c)

(0, -2)

d)

(0, 3)

66.

What is the y-intercept in the following equation: $y=-4x-5$

a)

-4

b)

-4x

c)

5

d)

-5

67.

What is the y-intercept?

(Remember...what is $y$ when $x=0$ )

or

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

1/2

b)

2

c)

7

d)

3

68.

What is the y-intercept?

(Find when $x=0$ ...how is y changing?)

or

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

65

b)

60

c)

70

d)

-5

69.

Find the y-intercept

Use Desmos

y1~mx1+b

Then insert table with 2 points

(slope 'm' will always be next to x and y intercept 'b' is by itself)

a)

(6,0)

b)

(0,6)

c)

(0,3)

d)

(0,1)

70.

Find the slope 'm'

Use Desmos

y1~mx1+b

Then insert table with 2 points

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

71.

Identify the slope in the equation below.

$y=4x-10$

a)

y

b)

4

c)

x

d)

-10

72.

Find the slope from the table.

Use Desmos

y1~mx1+b

Then insert table with 2 points

(slope 'm' will always be next to x and y intercept 'b' is by itself)

a)

-4

b)

1

c)

4

d)

-2

73.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

74.

What is the slope?

Use Desmos

y1~mx1+b

Then insert table with 2 points

(slope 'm' will always be next to x and y intercept 'b' is by itself)

a)

-1/3

b)

-3

c)

-4

d)

5

75.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

76.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

Linear Relationships

Total questions: 76

Worksheet time: 3hrs 21mins

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