Analytical Geometry

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

• 2

• 1

• 3

• 2.5

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

• (3, 8)

• (2, 5)

• (1, 3)

• (0, 0)

What is the gradient of the line y=−4x+7?

• 4

• -7

• 7

• -4

Find the gradient of the line perpendicular to the line with equation y=1/3x−2

• 3

• 1/3

• -1/3

• -3

What is the distance between the points (3, 4) and (7, 1)?

• 5

• 7

• 8

• 10

If the coordinates of the midpoint of a line segment are (4, 2) and one endpoint is (6, 3), what are the coordinates of the other endpoint?

• (2; 1)

• (4; 1)

• (3; 1)

• (2; 2)

The gradient of a line segment joining the points (2, -3) and (5, y) is 4. What is the value of y?

• 5

• -1

• 3

• 9

What is the length of the line segment between the points (1, 2) and (4, 6)?

• 3

• 5

• 6

• 7

What are the coordinates of the midpoint of the line segment joining (8, 6) and (2, -4)?

• (4, 0)

• (5, 1)

• (4, 1)

• (6, 2)

Which of the following lines is parallel to the line y=2/5x−1

• y=2/5x+4

• y=−5/2​x+1

• y=−2/5​x−4

• y=5/2​x+3