Coordinate Geometry

What is the distance between the points A(3, 4) and B(7, 1)?

Find the coordinates of the midpoint of the line segment joining points P(2, -3) and Q(8, 5).

If the points A(1, 2), B(4, k), and C(7, 6) are collinear, what is the value of k?

Find the area of the triangle formed by points A(0, 0), B(4, 0), and C(0, 3).

The coordinates of a point are (x, 3). If its distance from (1, 1) is 5 units, find the possible values of x.

What is the slope of the line passing through points (2, 5) and (6, -3)?

Find the equation of the line passing through (3, 4) and parallel to the line 2x + 3y = 6.

If the points (2, 3), (k, 7), and (6, 11) lie on a straight line, find k.

Find the area of the quadrilateral with vertices A(0, 0), B(4, 0), C(4, 3), and D(0, 3).

Find the coordinates of the point which divides the line segment joining (2, -3) and (10, 5) in the ratio 3:1 internally.