Coordinate Geometry — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Find the gradient of the line joining A(1, 2) and B(7, 10).

Question 2

[2](a)Find the midpoint of A(1, 2) and B(7, 10).

Question 3

[2](a)Find the length AB.

Question 4

[2](a)Find the gradient of the line joining A(−2, 3) and B(4, −5).

Question 5

[2](a)Find the midpoint of A(−2, 3) and B(4, −5).

Question 6

[2](a)Find the length AB.

Question 7

[2](a)Find the equation of the line with gradient 2 passing through (0, 4).

[1](b)Use your equation to find y when x = 3.

Question 8

[2](a)Find the gradient of the line joining (2, 5) and (2, −3). Explain your answer.

Question 9

[2](a)Show that the point (3, 5) lies on the line y = 2x − 1.

Question 10

[2](a)Find the distance between (0,0) and (6,8).

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