Coordinate geometry: distance, midpoint and gradient

Question 1 of 10

Find the distance between (4, 4) and (16, −1).

Question 2 of 10

A(1, 1) and B(4, 4) are two points. Find (a) the gradient of AB, (b) the equation of AB, (c) the midpoint M of AB, (d) the gradient of a line perpendicular to AB.

Question 3 of 10

The line y = −3x + 6 cuts the y-axis at y = ___.

Question 4 of 10

Find the distance between (−3, 1) and (0, 5).

Question 5 of 10

The line y = 3x + 2 cuts the y-axis at y = ___.

Question 6 of 10

Find the midpoint of (4, 4) and (9, 16).

Question 7 of 10

A(−2, 1) and B(1, −5) are two points. Find (a) the gradient of AB, (b) the equation of AB, (c) the midpoint M of AB, (d) the gradient of a line perpendicular to AB.

Question 8 of 10

The equation of a line with gradient 3 passing through (0, −2) is

Question 9 of 10

The midpoint of (x₁, y₁) and (x₂, y₂) is

Question 10 of 10

Two lines are perpendicular if the product of their gradients is