Coordinate Geometry

The points P and Q are (4, 7) and (8, -3) respectively. Find the midpoint of PQ.

P is the point (2, 9) and Q is the point (4, 6). Find the length of PQ.

A straight line passes through the points P (1, 2) and Q (5, -14). Find the gradient of PQ.

A line has equation 3y = 2 - x. Find the gradient of the line.

A line PQ passes through the point (1, 2). Given the gradient of the line PQ is -4,

find the equation of the line PQ.

A is the point (0, 4) and B is the point (-6, 1).

Find the equation of the line AB.

The line with equation 2y + 3x + k = 0 passes through the point P (-2, 1).

Find k.

The coordinates of P and M are (-3, 10) and (0, 4).

M is the midpoint of PQ.

Find the coordinates of Q.