Coordinate geometry: distance, midpoint and gradient

Question 1 of 10

A(2, 3) and B(5, −3) 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 2 of 10

Find the midpoint of (−1, 2) and (8, −10).

Question 3 of 10

The y-intercept of y = 5x − 3 is 5.

Question 4 of 10

Find the gradient of the line joining (−3, 4) and (3, −4).

Question 5 of 10

The gradient of a line perpendicular to one with gradient 2 is

Question 6 of 10

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

Question 7 of 10

The line y = −2x + 6 cuts the y-axis at y = ___.

Question 8 of 10

A(1, 0) and B(4, −6) 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 9 of 10

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

Question 10 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.