Coordinate Geometry

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

Find the midpoint of the line segment joining points P(2, 3) and Q(8, 7).

The coordinates of a point are (x, 0). Where does this point lie?

Find the slope of the line passing through points A(1, 2) and B(4, 8).

What is the equation of the line passing through (0, 3) and parallel to the x-axis?

If the midpoint of segment joining A(2, 5) and B(x, 9) is (5, 7), find x.

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

Find the coordinates of the point which divides the line segment joining A(3, 7) and B(9, 1) in the ratio 2:1 internally.

Find the equation of the line passing through (2, 3) and perpendicular to the line 3x + 4y - 7 = 0.

If the points A(1, 2), B(k, 6), and C(4, 10) are collinear, find k.