Coordinate Geometry

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

The midpoint of the line segment joining points P(2, -3) and Q(8, 5) is:

If a point lies on the x-axis, which of the following is true?

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

The coordinates of point R are (x, 7). If R is equidistant from points A(3, 2) and B(7, 6), what is the value of x?

Find the slope of the line passing through points (2, 3) and (5, 11).

What is the equation of the line passing through (1, 2) and parallel to the line 3x + 4y = 12?

If the coordinates of vertices of a triangle are A(1, 2), B(4, 6), and C(7, 2), find the length of median from vertex B.

The points A(2, 3), B(5, k), and C(8, 7) are collinear. Find the value of k.

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