Free Printable Coordinates Geometry

1.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

2.

On the coordinate plane, which line is the y-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

3.

What letter is at (7, -6)?

a)

D

b)

L

c)

X

d)

There is no letter at those coordinates.

4.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

5.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

6.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

7.

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

8.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

9.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

10.

What is the distance between (2,9) and (1,5)?

a)

15

b)

17

c)

4.12

d)

3.87

11.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

12.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

13.

Find the distance between (-3, -11) and (8, -42).

a)

32.1

b)

32.3

c)

32.7

d)

32.9

14.

Find the distance between (-4, 5) and (7, 18).

a)

15.96

b)

16.08

c)

16.23

d)

17.03

15.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.4

d)

33.2

16.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

17.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

18.

What is the distance between (2,9) and (1,5)?

a)

15

b)

17

c)

4.12

d)

3.87

19.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

20.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

21.

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

22.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

23.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

24.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

25.

Which graph corresponds to

(x-4)²+ (y+4)²=25

a)

A

b)

B

c)

C

d)

D

26.

Which graph corresponds to

(x+2)²+ (y-3)²=36

a)

A

b)

B

c)

C

d)

D

27.

In order to convert from general form to center-radius form, you must ___________.

a)

Multiply out

b)

expand

c)

factor

d)

complete the square

28.

What is the radius of the given circle:
x²+y²-10x+8y-23=0?

a)

4

b)

2

c)

8

29.

Determine the center and radius: x²+ y²+ 14x - 2y = -1

a)

center= (-7,2) radius= 3

b)

center= (-7,1) radius= 7

c)

center= (-4,1) radius= 5

30.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

31.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

32.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

33.

The equation of a circle is: $\left(x-3\right)^2+\left(y-2\right)^2=16$

a)

The radius is 32 units.

b)

The radius is 16 units.

c)

The radius is 8 units.

d)

The radius is 4 units.

34.

What is the center of the circle: $\left(x+5\right)^2+\left(y-3\right)^2=9$

a)

$\left(5,\ 3\right)$

b)

$\left(5,\ -3\right)$

c)

$\left(-5,\ 3\right)$

d)

$\left(-5,\ -3\right)$

35.

What is the equation of the circle?

a)

$\left(x+1\right)^2+\left(y+1\right)^2=4$

b)

$x^2+y^2=4$

c)

$\left(x+4\right)^2+\left(y+4\right)^2=16$

d)

$x^2+y^2=16$

36.

What is the equation of the circle?

a)

$\left(x-4\right)^2+\left(y+2\right)^2=3$

b)

$\left(x+4\right)^2+\left(y-2\right)^2=3$

c)

$\left(x-4\right)^2+\left(y+2\right)^2=9$

d)

$\left(x+4\right)^2+\left(y-2\right)^2=9$

37.

Select the graph of the circle: $\left(x-3\right)^2+y^2=4$

a)

b)

c)

d)

38.

Select the graph of the circle: $\left(x-1\right)^2+\left(y+2\right)^2=25$

a)

b)

c)

d)

39.

Select all the equations for a circle with a diameter of 12.

a)

$\left(x+8\right)^2+\left(y-4\right)^2=36$

b)

$\left(x-2\right)^2+\left(y+14\right)^2=144$

c)

$x^2+y^2=36$

d)

$x^2+y^2=144$

e)

$\left(x+6\right)^2+\left(y+6\right)^2=24$

40.

Complete the equation: $\left(x+3\right)^2+\left(y-4\right)^2=$

(a)

41.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

42.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

43.

In the equation (x-4)²+(y-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

44.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

45.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

46.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

47.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

48.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

49.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

50.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

51.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

52.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

53.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

54.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

55.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

56.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

3x

57.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

58.

What is the slope of a line perpendicular to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

59.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

60.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

61.

For the equation

y + 1 = −3(x - 5),

the line contains the point (5, −1), but what is the slope?

a)

−1

b)

3

c)

−3

d)

5

62.

For the equation

y + 1 = 1/4(x - 5),

the line contains the point (5, −1), but what is the slope?

a)

1

b)

5

c)

1/4

d)

−1

63.

For the equation

y + 2 = 5(x - 4),

the line has a slope of 5 and contains what point?

a)

(4,−2)

b)

(−4,2)

c)

(5,0)

d)

(4,2)

64.

For the equation

y + 3 = -4(x - 2),

which of the following is true?

a)

The line has m = −4 passing through the point (2, -3)

b)

The line has m = 4 passing through the point (3, −2)

c)

The line has m = 3 passing through the point (-4, -2)

d)

The line has m = −4 passing through the point (−3, 2)

65.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

66.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

67.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

68.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

69.

What is the slope of the following equation?

y-4=-\left(x+2\right)

a)

1

b)

-1

c)

2

d)

-4

70.

$y+8=3\left(x-5\right)$

If the slope is 3 in the following equation, what is the point?

a)

(5, -8)

b)

(5, 8)

c)

(-5, 8)

d)

(-5, -8)

71.

$y+3=-4\left(x-9\right)$

If the slope is -4 for the following equation, what is the point?

a)

(-9, 3)

b)

(-9, -3)

c)

(9, 3)

d)

(9, -3)

72.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

73.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

74.

What is the slope of the line given by the equation?

y=6x-2

a)

$m=\frac{1}{6}$

b)

$m=-6$

c)

$m=6$

d)

$m=-\frac{1}{6}$

75.

What is the slope of a line parallel to the line 2x - 3y = 11?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

76.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

77.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

78.

What is the gradient of this line?

a)

2

b)

½

c)

-½

d)

-3

79.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

80.

What rule connects the x and y values from this table?

a)

y = 2x + 5

b)

y = 4x + 1

c)

y = 3x + 3

d)

y = x + 7

81.

What rule connects the x and y values from this table?

a)

y = x + 8

b)

y = 2x + 3

c)

y = 3x - 2

d)

y = 4x - 7

82.

Which of these
co-ordinates lie on the line
y = 3x - 8?

a)

(5, 8)

b)

(0, 8)

c)

(2, -2)

d)

(1, 5)

83.

What is the gradient of the following slope

a)

-2

b)

-1/2

c)

2

d)

-1

84.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

85.

The gradient of horizontal line is .........

a)

Always zero

b)

undefined

c)

Always positive

d)

Always negative

86.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

87.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

88.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

89.

When the line is a horizontal (flat), the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

90.

What is the gradient of this line?

a)

2

b)

-2

c)

1/2

d)

-1/2

91.

Which line is parallel to y-axis?

a)

AB

b)

CD

92.

The equation of a straight line is in the form of _________________ .

a)

y = x

b)

y = mx

c)

y = mx + c

d)

y = mx + mc

93.

We can choose any two points on a line to find its gradient.

a)

True

b)

False

94.

In y = mx + c, what does the c represent?

a)

the amount of cents

b)

the constant c, represents the x-intercept

c)

the constant c, represents the y-intercept

d)

the gradient of the line

95.

What is y-intercept?

a)

the x-coordinate of the point where the line cuts the x-axis

b)

the x-coordinate of the point where the line cuts the y-axis

c)

the y-coordinate of the point where the line cuts the x-axis

d)

the y-coordinate of the point where the line cuts the y-axis

96.

What is the gradient of the line x + y = 7

a)

1

b)

-1

c)

7

d)

-7

97.

What is the y-intercept of the line x + y = 7

a)

(0, 1)

b)

(0, -1)

c)

(0, 7)

d)

(0, -7)

98.

What is the gradient of the line y - 2x = 5

a)

2

b)

-2

c)

5

d)

-5

99.

What is the gradient of the line 3x + y = -1

a)

3

b)

-1

c)

1

d)

-3

100.

What is the gradient of the line x + y = 10

a)

0

b)

1

c)

10

d)

-1

101.

What is the y-intercept of the line 2x + y = -3

a)

(0, -3)

b)

(0, -2)

c)

(0, 2)

d)

(0, 3)

102.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

103.

What is the slope of the line?

a)

-6

b)

-2/3

c)

3/2

d)

4

104.

Which runner was faster?

a)

Runner A

b)

Runner B

105.

What is Brad's slope in terms of sit-ups?

a)

1 sit-up per day

b)

5 sit-ups per day

c)

15 sit-ups per day

d)

15 days per 1 sit-up

106.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

107.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

108.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

109.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

110.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

111.

Find the y-intercept for the PURPLE line.

a)

−3

b)

4

c)

−2

d)

2

112.

Which of these lines will intercept the y-axis at 5?

a)

y=x+5

b)

y=5x

c)

5y=5x+5

d)

y=x-5

113.

Write down the equation of this line.

a)

y= 2x+1

b)

y= −2x+1

c)

y= 2x−½

d)

None of the above

114.

The equation of this line is y=x+2. True or False?

a)

True

b)

False

115.

A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y).

a)

(0, -3)

b)

(0, 3)

c)

(0, -8)

d)

(0, 8)

116.

The equation of a straight line is

3x - 2y + 8 = 0. Find the y -intercept of the line

a)

-8

b)

4

c)

-8/3

d)

8/3

117.

The x-intercept of straight line $kx-2ky-21=0$ is 7 . Find the y-intercept of L.

a)

$-\frac{7}{2}$

b)

-3

c)

3

d)

$\frac{7}{2}$

118.

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

a)

x-intercept = $-\frac{2}{5}$ , y-intercept = 5

b)

x-intercept = $-\frac{5}{2}$ , y-intercept = 2

c)

x-intercept = 5 , y-intercept = 2

d)

x-intercept = 5 , y-intercept = 5

Coordinates Geometry

Total questions: 118

Worksheet time: 6hrs 51mins

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