Coordinate Geometry

What are the coordinates of the origin in the Cartesian plane?

If a point lies on the x-axis, which of the following is true about its coordinates (x, y)?

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).

If the coordinates of a point are (x, y), which of the following represents the point reflected about the y-axis?

The points A(2, 3), B(5, 7), and C(8, 11) lie on the same straight line. What is the slope of this line?

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

Which of the following points lies on the line y = 2x + 1?

If the distance between points A(1, 2) and B(x, 6) is 5 units, find the possible values of x.

Find the equation of the line passing through points (2, 3) and (4, 7).