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

What is the distance between points (-3, 4) and (5, -2)?

Accepted Answer

10 units

Answer

5 units

Answer

15 units

Answer

20 units

Question 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 12

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 13

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 14

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

Accepted Answer

6

Answer

8

Answer

10

Answer

12

Question 15

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

Accepted Answer

9π

Answer

3π

Answer

12π

Answer

18π

Question 16

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 17

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 18

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 19

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 20

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 21

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 22

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 23

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 24

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 25

Find the x-coordinate of the point where the graph of the line y = 2x + 1 crosses the x-axis.

Accepted Answer

(-1/2, 0)

Answer

(1, 1)

Answer

(0, 1)

Answer

(1, 3)

Question 26

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 27

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 28

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 29

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 30

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 31

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

Accepted Answer

Yes

Answer

No

Question 32

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 33

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

Accepted Answer

[3, ∞)

Answer

(-∞, ∞)

Answer

[0, ∞)

Answer

(-∞, 3]

Question 34

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 35

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 36

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 37

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

Accepted Answer

5

Answer

6

Answer

3

Answer

4

Question 38

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 39

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

Accepted Answer

5

Answer

10

Answer

25

Answer

1

Question 40

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 41

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 42

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

Accepted Answer

-2

Answer

0

Answer

3

Answer

2

Question 43

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

Accepted Answer

Quadrant II

Answer

Quadrant IV

Answer

Quadrant I

Answer

Quadrant III

Question 44

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

Accepted Answer

√5

Answer

2

Answer

3

Answer

5

Question 45

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 46

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 47

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 48

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 49

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 50

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 51

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 52

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 53

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

Accepted Answer

5

Answer

4

Answer

7

Answer

3

Question 54

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 55

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 56

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 57

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 58

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)