Coordinate Geometry and Sequences Quiz

What is the midpoint of the line segment joining (2, 5) and (6, 9)?

• (4, 4)

• (4, 7)

• (8, 14)

• (5, 6)

What is the distance between the points (-1, 3) and (5, 7)?

• √52

• √40

• 6

• 8

A line has a gradient of 3 and passes through the point (1, 2). What is its equation?

• y = 3x - 1

• y = 3x + 1

• y = 3x - 5

• y = 3x + 5

• 48/6

• 2

• 13/6

• 35/6

The curve C has equation y = 2x² − 12x + 7. Find the coordinates of the turning point on C

• (2,11)

• (3, 11)

• (3, -11)

• (3, 5.7)

The lines y = 2x + 1 and y = 4x - 3 intersect. What are the coordinates of the point of intersection?

• (1, 3)

• (2, 5)

• (3, 7)

• (4, 13)

A line segment has endpoints A(1, 2) and B(5, 10). Point P divides AB in the ratio 1:3. What are the coordinates of P?

• (1.5, 3.5)

• (3, 6)

• (4, 8)

• (2, 4)

What is the equation of the line parallel to y = 5x - 1 that passes through the point (0, 0)?

• y = 5x

• y = 5x - 1

• y = -⅕x

• y = ⅕x

The points A(2, 1), B(5, y), and C(7, 5) lie on a straight line. What is the value of y?

• 2

• 1

• 3.4

• 5

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

• 1

• 4

• -1

• 8