Coordinate Geometry Quizzes: Master Graphing on the Coordinate Plane

Question 1

Find the equation of the line with a slope of -2 and a y-intercept of 5.

Accepted Answer

y = -2x + 5

Answer

y = 2x - 5

Answer

y = -2x - 5

Answer

y = 2x + 5

Question 2

Which of the following is the slope of a line that is parallel to the x-axis?

Accepted Answer

0

Answer

1

Answer

undefined

Answer

-1

Question 3

Which of the following transformations translates point (3, -2) 4 units to the right?

Accepted Answer

(7, -2)

Answer

(3, 2)

Answer

(-1, -2)

Answer

(-3, 2)

Question 4

The coordinates of the point that is 3 units to the right of the y-axis and 5 units below the x-axis are:

Accepted Answer

(3, -5)

Answer

(-3, 5)

Answer

(-5, 3)

Answer

(5, 3)

Question 5

What is the equation of the line passing through the point (1, 2) and having a slope of -2?

Accepted Answer

y = -2x + 4

Answer

y = 2x - 1

Answer

y = -2x + 1

Answer

y = 2x + 4

Question 6

Which transformation will shift the graph of the line y = 2x + 3 three units up?

Accepted Answer

y = 2x + 6

Answer

y = 2x - 3

Answer

y = 6x + 3

Answer

y = -2x + 3

Question 7

Which equation represents a vertical line that passes through the point (-2, 0)?

Accepted Answer

x = -2

Answer

y = 0

Answer

y = -2

Answer

x = 0

Question 8

Identify the center of the circle represented by the equation (x - 3)^2 + (y + 2)^2 = 25.

Accepted Answer

(3, -2)

Answer

(-3, 2)

Answer

(2, 3)

Answer

(-2, -3)

Question 9

Write the equation of a line that is parallel to y = 2x - 1 and passes through the point (3, 5).

Accepted Answer

y = 2x + 11

Answer

y = 2x + 1

Answer

y = -2x + 11

Answer

y = -2x + 1

Question 10

Calculate the length of the line segment connecting points (1, 3) and (5, -1).

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 11

Determine the domain of the function f(x) = 1/(x - 2).

Accepted Answer

All real numbers except 2

Answer

All real numbers

Answer

All real numbers less than 2

Answer

All real numbers greater than 2

Question 12

Write the equation of the line with a slope of -2 and a y-intercept of 3.

Accepted Answer

y = -2x + 3

Answer

y = 2x + 3

Answer

y = -2x - 3

Answer

y = 2x - 3

Question 13

Calculate the distance between the points (2, 5) and (8, 5).

Accepted Answer

6

Answer

8

Answer

10

Answer

12

Question 14

What is the area of a circle with a radius of 3?

Accepted Answer

9π

Answer

3π

Answer

12π

Answer

18π

Question 15

Which transformation will move the point (x, y) to (-x, -y)?

Accepted Answer

Reflection across the x-axis

Answer

Reflection across the y-axis

Answer

Rotation 180° clockwise

Answer

Translation 2 units to the left

Question 16

Sketch the graph of the inequality y > 2x - 3.

Accepted Answer

The region above the line y = 2x - 3

Answer

A line with slope 2 and y-intercept 3

Answer

A line with slope -2 and y-intercept 3

Answer

The region below the line y = 2x - 3

Question 17

Find the equation of the line that passes through the points (2, 3) and (-1, 5).

Accepted Answer

y = -2x + 7

Answer

y = 2x + 1

Answer

y = 1/2x + 2

Answer

y = -1/2x + 4

Question 18

Find the coordinates of the vertex of the parabola y = x^2 - 4x + 3.

Accepted Answer

(2, -1)

Answer

(1, 0)

Answer

(-2, 1)

Answer

(-1, 2)

Question 19

Find the distance between the points (x1, y1) and (x2, y2) on a coordinate plane.

Accepted Answer

√((x2 - x1)² + (y2 - y1)²)

Answer

√((x1 - x2)² + (y1 - y2)²) / 2

Answer

√((x1 - x2)² / (y1 - y2)²) + (y1 - y2)²

Answer

√((x1 + x2)² + (y1 + y2)²) / 4

Question 20

Find the equation of the circle with center (2, -3) and radius 5.

Accepted Answer

(x - 2)² + (y + 3)² = 25

Answer

(x + 2)² + (y - 3)² = 25

Answer

(x - 2)² + (y + 3)² = 5

Answer

(x + 3)² + (y - 2)² = 25

Question 21

A line segment AB has a slope of 3 and passes through the point (2, 5). What are the coordinates of point B?

Accepted Answer

(5, 14)

Answer

(2, 8)

Answer

(8, 2)

Question 22

Express the line with a slope of 2 and a y-intercept of -1 in slope-intercept form.

Accepted Answer

y = 2x - 1

Answer

x = -2y + 1

Answer

y = -2x + 1

Answer

x = 2y - 1

Question 23

Find the midpoint of the line segment connecting the points (4, 6) and (8, 10).

Accepted Answer

(6, 8)

Answer

(4, 8)

Answer

(8, 6)

Question 24

Determine the equation of the line perpendicular to y = 2x - 1 and passing through the point (2, 5).

Accepted Answer

y = -1/2x + 6

Answer

y = -2x - 1

Answer

y = 2x + 1

Answer

y = 1/2x + 4

Question 25

To represent the point (3, -5) on the coordinate plane, you would:

Accepted Answer

Move down 5 units and right 3 units.

Answer

Move up 3 units and left 5 units.

Answer

Move down 3 units and right 5 units.

Answer

Move up 5 units and left 3 units.

Question 26

Which equation represents a line with a slope of -3 and a y-intercept of 5?

Accepted Answer

y = -3x + 5

Answer

y = 3x + 5

Answer

x = -3y + 5

Answer

x = 3y + 5

Question 27

What is the equation of the circle with a center at (2, 3) and a radius of 4?

Accepted Answer

(x - 2)² + (y - 3)² = 16

Answer

(x + 2)² - (y + 3)² = 16

Answer

(x + 2)² + (y + 3)² = 16

Answer

(x - 2)² - (y - 3)² = 16

Question 28

Calculate the area of the triangle with vertices (0, 0), (4, 0), and (0, 3).

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 29

Does the point (2, 5) lie on the line with equation y = 2x + 1?

Accepted Answer

Yes

Answer

No

Question 30

Find the midpoint of the line segment connecting the points (1, 2) and (5, 6).

Accepted Answer

(3, 4)

Answer

(2, 4)

Answer

(4, 2)

Question 31

Find the domain of the function f(x) = √(x - 3).

Accepted Answer

[3, ∞)

Answer

(-∞, ∞)

Answer

[0, ∞)

Answer

(-∞, 3]

Question 32

Calculate the slope of the line passing through the points (2, 5) and (4, 1).

Accepted Answer

-2

Answer

-1/2

Answer

1/2

Answer

2

Question 33

Determine the equation of the line with a slope of 3 and a y-intercept of -2.

Accepted Answer

y = 3x - 2

Answer

y = 2x - 3

Answer

y = -2x + 3

Question 34

Find the equation of the line in slope-intercept form that passes through the points (1, 3) and (5, 7).

Accepted Answer

y = x + 2

Answer

y = -x - 2

Answer

y = x - 2

Answer

y = -x + 2

Question 35

Calculate the distance between the points (3, 4) and (7, 1).

Accepted Answer

5

Answer

6

Answer

3

Answer

4

Question 36

Identify the center of the circle represented by the equation (x - 3)² + (y + 2)² = 16.

Accepted Answer

(3, -2)

Answer

(4, 1)

Answer

(-3, 2)

Answer

(1, -4)

Question 37

Determine the radius of the circle with the equation x² + y² = 25.

Accepted Answer

5

Answer

10

Answer

25

Answer

1

Question 38

If a line is perpendicular to the line y = 2x + 5, what is the slope of the perpendicular line?

Accepted Answer

-1/2

Answer

-2

Answer

2

Answer

1/2

Question 39

Write the equation of the circle with center (0, 0) and radius 7.

Accepted Answer

x² + y² = 49

Answer

x² + y² = 7

Answer

(x - 7)² + (y - 7)² = 49

Answer

(x + 7)² + (y + 7)² = 49

Question 40

For the point (3, -2), identify its y-coordinate.

Accepted Answer

-2

Answer

0

Answer

3

Answer

2

Question 41

In which quadrant is the point (-4, 3) located?

Accepted Answer

Quadrant II

Answer

Quadrant IV

Answer

Quadrant I

Answer

Quadrant III

Question 42

What is the distance between the points (2, 3) and (4, 1)?

Accepted Answer

√5

Answer

2

Answer

3

Answer

5

Question 43

Which of the following equations represents a vertical line passing through the point (2, -3)?

Accepted Answer

x = 2

Answer

x + 2 = 0

Answer

y = -3

Answer

y - 3 = 0

Question 44

What is the equation of the circle with center (2, -1) and radius 3?

Accepted Answer

(x - 2)² + (y + 1)² = 9

Answer

(x + 2)² + (y - 1)² = 9

Answer

(x + 1)² + (y - 2)² = 3

Answer

(x - 1)² + (y + 2)² = 3

Question 45

Which of the following points lies inside the circle with equation x² + y² = 16?

Accepted Answer

(3, 4)

Answer

(5, 2)

Answer

(8, 1)

Answer

(6, 7)

Question 46

What is the area of the rectangle with vertices at (0, 0), (3, 0), (3, 2), and (0, 2)?

Accepted Answer

6

Answer

8

Answer

4

Question 47

What is the midpoint of the line segment with endpoints at (-2, 5) and (4, -1)?

Accepted Answer

(1, 2)

Answer

(-3, -2)

Answer

(3, 3)

Answer

(2, 4)

Question 48

What is the slope of the line passing through the points (1, 3) and (4, 9)?

Accepted Answer

2

Answer

1/2

Answer

-2

Question 49

Which of the following equations represents a line with a slope of -3 and a y-intercept of 5?

Accepted Answer

y = -3x + 5

Answer

y = 3x + 5

Answer

y = 5x - 3

Answer

y = -3x - 5

Question 50

What is the equation of the line that is perpendicular to the line y = 2x + 1 and passes through the point (2, 3)?

Accepted Answer

y = -1/2x + 4

Answer

y = 2x - 1

Answer

y = 1/2x + 2

Answer

y = -1/2x + 2

Question 51

What is the distance between the points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

4

Answer

7

Answer

3

Question 52

The equation of a circle is (x - 3)^2 + (y + 2)^2 = 16. What is the radius of the circle?

Accepted Answer

4

Answer

2

Answer

8

Answer

16

Question 53

Which of the following points lies on the circle with equation (x + 2)^2 + (y - 1)^2 = 9?

Accepted Answer

(-1, 4)

Answer

(0, 0)

Answer

(3, 1)

Answer

(1, 2)

Question 54

What is the equation of the line that passes through the point (1, 2) and is parallel to the line y = -4x + 3?

Accepted Answer

y = -4x + 6

Answer

y = 4x - 2

Answer

y = 1/4x + 5/4

Answer

y = -4x + 3

Question 55

A line passes through the points (-1, 2) and (3, -4). What is the equation of this line in slope-intercept form?

Accepted Answer

y = -3/2x + 1/2

Answer

y = -2/3x + 4/3

Answer

y = 3/2x + 7/2

Answer

y = 2/3x - 8/3

Question 56

A circle has a center at (2, -1) and a radius of 5. Which of the following points lies on this circle?

Accepted Answer

(7, -1)

Answer

(2, 4)

Answer

(2, 4)

Answer

(0, -1)