Coordinate Geometry

What is the length of the line segment with endpoints (-1, 3) and (5, 7)?

• 2√13 units

• 4 units

• 2√10 units

• 3√5 units

Determine the distance between the points (-3, 1) and (2, -5).

• The distance between the points (-3, 1) and (2, -5) is 7.81 units.

• The distance between the points (-3, 1) and (2, -5) is 5.62 units.

• The distance between the points (-3, 1) and (2, -5) is -3.24 units.

• The distance between the points (-3, 1) and (2, -5) is 10.5 units.

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

• 7

• 3

• 2

• 5

Determine the gradient of the line passing through the points (-2, 5) and (4, -3).

• 5/4

• -4/3

• 2/3

• 3/2

Write the equation of a line with a gradient of 2 passing through the point (1, 3).

• y = 2x + 1

• y = 2x - 1

• y = 3x + 1

• y = 2x + 3

Calculate the gradient of the line passing through the points (0, -2) and (6, 4).

• 2

• 4

• 1

• 3

If the line passes through the points (3, 2) and (5, 8), find the equation of the line.

• y = 2x + 5

• y = 3x - 7

• y = 4x - 3

• y = -x + 10

If the line has a gradient of -4 and passes through the point (3, -2), what is the equation of the line?

• y = -4x - 10

• y = -4x - 2

• y = -4x + 10

• y = 4x + 10

Write the equation of a line with a gradient of -3 passing through the point (2, 5).

• y = -3x + 11

• y = -3x + 5

• y = -5x + 2

• y = 2x + 5

If the length of the line segment with endpoints (1, -3) and (7, p) is 10. find the value of p.

• 15

• 5

• 8

• 12