Coordinate Geometry Quiz

Question 1

What is the gradient of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 2

What is the midpoint of the line segment joining (1, 4) and (7, 10)?

Accepted Answer

(4, 7)

Answer

(3, 5)

Answer

(6, 6)

Answer

(4, 6)

Question 3

What is the equation of a line with gradient 3 and y-intercept −2?

Accepted Answer

y = 3x − 2

Answer

y = −2x + 3

Answer

y = 3x + 2

Answer

y = −3x + 2

Question 4

What is the distance between the points (0, 0) and (3, 4)?

Accepted Answer

5

Answer

6

Answer

7

Answer

√7

Question 5

Two lines are parallel. What can you say about their gradients?

Accepted Answer

Their gradients are equal

Answer

Their gradients sum to zero

Answer

Their gradients multiply to −1

Answer

Their gradients are reciprocals

Question 6

Two lines are perpendicular. Line A has gradient 2. What is the gradient of line B?

Accepted Answer

−1/2

Answer

2

Answer

−2

Answer

1/2

Question 7

What is the y-intercept of the line 3x + 2y = 12?

Accepted Answer

6

Answer

3

Answer

4

Answer

12

Question 8

Which quadrant contains the point (−3, 5)?

Accepted Answer

Quadrant II

Answer

Quadrant I

Answer

Quadrant III

Answer

Quadrant IV

Question 9

Find the equation of the line through (1, 2) with gradient 4.

Accepted Answer

y = 4x − 2

Answer

y = 4x + 2

Answer

y = 4x − 1

Answer

y = 4x + 1

Question 10

What is the gradient of a horizontal line?

Accepted Answer

0

Answer

1

Answer

−1

Answer

Undefined

Question 11

The point (5, k) lies on the line y = 2x − 3. What is k?

Accepted Answer

7

Answer

8

Answer

10

Answer

13

Question 12

What is the distance between (1, 1) and (4, 5)?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 13

What is the equation of the x-axis?

Accepted Answer

y = 0

Answer

x = 0

Answer

y = x

Answer

x = 1

Question 14

A line has equation 4x − 2y = 8. What is its gradient?

Accepted Answer

2

Answer

4

Answer

−2

Answer

−4

Question 15

What is the midpoint of (−2, 6) and (8, 2)?

Accepted Answer

(3, 4)

Answer

(6, 4)

Answer

(3, 8)

Answer

(5, 4)

Question 16

Which of these points lies on the line y = 3x + 1?

Accepted Answer

(2, 7)

Answer

(1, 3)

Answer

(0, 3)

Answer

(3, 10)

Question 17

Two points are A(0, 5) and B(10, 0). What is the length of AB?

Accepted Answer

5√5

Answer

5

Answer

√125

Answer

Both A and C are correct

Question 18

Find the gradient of the line joining (−1, 3) and (3, −5).

Accepted Answer

−2

Answer

2

Answer

−1/2

Answer

1/2

Question 19

A line is parallel to y = 5x − 3 and passes through (0, 7). What is its equation?

Accepted Answer

y = 5x + 7

Answer

y = 5x − 7

Answer

y = −5x + 7

Answer

y = 7x + 5

Question 20

Where do the lines y = x + 2 and y = 3x − 4 intersect?

Accepted Answer

(3, 5)

Answer

(2, 2)

Answer

(4, 8)