Coordinate Geometry: Master Graphing and Equations

Question 1

Calculate the slope of the line passing through the points (1, 2) and (3, 8).

Accepted Answer

3

Answer

6

Answer

2

Answer

4

Question 2

What is the x-coordinate of the point where the line 2x - y = 6 intersects the x-axis?

Accepted Answer

3

Answer

4

Answer

6

Answer

2

Question 3

Determine the equation of the line with a slope of -2 that passes through the point (1, 3).

Accepted Answer

y = -2x + 5

Answer

y = -2x + 1

Answer

y = 2x + 1

Answer

y = 2x + 5

Question 4

Which of the following graphs represents the line with the equation y = x + 2?

Accepted Answer

[Image of a line with a slope of 1 and a y-intercept of 2]

Answer

[Image of a line with a slope of -1 and a y-intercept of 2]

Answer

[Image of a line with a slope of -2 and a y-intercept of 1]

Answer

[Image of a line with a slope of 2 and a y-intercept of 1]

Question 5

Find the midpoint of the line segment connecting the points (1, 2) and (3, 4).

Accepted Answer

(2, 3)

Answer

(3, 3)

Answer

(1, 3)

Answer

(2, 4)

Question 6

What is the standard form equation of a circle centered at (2, 3) with a radius of 4?

Accepted Answer

(x - 2)^2 + (y - 3)^2 = 16

Answer

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

Answer

(x + 2)^2 + (y + 3)^2 = 16

Answer

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

Question 7

A square has vertices at (1, 1), (3, 1), (3, 3), and (1, 3). What is the perimeter of this square?

Accepted Answer

8

Answer

4

Answer

16

Answer

12

Question 8

Which of the following is the equation of a line passing through the points (2, 3) and (4, 7)?

Accepted Answer

y = 2x + 1

Answer

y = 3x + 1

Answer

y = x + 5

Answer

y = 4x - 1

Question 9

What is the slope of the line represented by the equation 2x + 3y = 6?

Accepted Answer

-2/3

Answer

2/3

Answer

-3/2

Answer

3/2

Question 10

Which of the following points lies on the line y = x + 2?

Accepted Answer

(1, 3)

Answer

(2, 4)

Answer

(3, 5)

Answer

(0, 2)

Question 11

What is the x-intercept of the line 3x - 2y = 6?

Accepted Answer

2

Answer

3

Answer

-2

Question 12

Which of the following equations represents a vertical line passing through the point (3, 4)?

Accepted Answer

x = 3

Answer

y = 4

Answer

x = 4

Answer

y = 3

Question 13

What is the distance between the points (2, 3) and (-1, 5)?

Accepted Answer

5

Answer

6

Answer

4

Answer

7

Question 14

Which of the following is the graph of the inequality y > 2x - 1?

Accepted Answer

{point-on-graph}

Answer

{point-not-on-graph}

Answer

{shaded-region-not-including-line}

Answer

{point-on-the-line}

Question 15

What is the solution to the system of equations x + y = 5 and x - y = 1?

Accepted Answer

(3, 2)

Answer

(2, 3)

Answer

(1, 4)

Question 16

Which of the following transformations would translate the line y = x + 2 up by 3 units?

Accepted Answer

y = x + 5

Answer

y = x + 3

Answer

y = 5x + 2

Answer

y = x - 3

Question 17

What is the area of the rectangle with vertices (0, 0), (3, 0), (3, 5), and (0, 5)?

Accepted Answer

15

Answer

20

Answer

10

Answer

25

Question 18

Which of the following is the equation of the line passing through the points (2, 3) and (5, 7)?

Accepted Answer

y = x + 1

Answer

y = 2x + 1

Answer

y = -x + 5

Answer

y = 2x - 1

Question 19

What is the slope of the line represented by the equation 2x + 3y = 6?

Accepted Answer

-2/3

Answer

3/2

Answer

-3/2

Answer

2/3

Question 20

Which of the following points lies on the line with equation y = 2x + 1?

Accepted Answer

(3, 7)

Answer

(1, 3)

Answer

(2, 5)

Answer

(4, 9)

Question 21

Find the x-intercept of the line with equation 3x - 2y = 12.

Accepted Answer

4

Answer

-6

Answer

6

Answer

-4

Question 22

What is the y-intercept of the line with equation y = -2x + 5?

Accepted Answer

5

Answer

-5

Answer

-2

Answer

2

Question 23

Which of the following lines is parallel to the line with equation y = 3x - 1?

Accepted Answer

y = 3x + 2

Answer

y = 2x - 1

Answer

y = -3x - 1

Question 24

Which of the following lines is perpendicular to the line with equation y = -2x + 3?

Accepted Answer

y = (1/2)x - 1

Answer

y = -2x - 3

Answer

y = 2x + 1

Question 25

Find the distance between the points (2, 3) and (5, 7).

Accepted Answer

5

Answer

9

Answer

3

Answer

7

Question 26

Find the midpoint of the line segment joining the points (1, 2) and (3, 4).

Accepted Answer

(2, 3)

Answer

(4, 2)

Answer

(1, 3)

Answer

(3, 1)

Question 27

What is the area of a triangle with vertices (0, 0), (3, 0), and (0, 4)?

Accepted Answer

6

Answer

3

Answer

9

Answer

12