The formula for the distance between two points is as follows.ĭ = \( \sqrt \] The distance between two points \((x_1, y_1)\) and \(x_2, y_2) \) is equal to the square root of the sum of the squares of the difference of the x coordinates and the y-coordinates of the two given points. Let us know more about each of the formulas in the below paragraphs. The formulas of coordinate geometry are the distance formula, slope formula, midpoint formula, section formula, and the equation of a line. The formulas of coordinate geometry help in conveniently proving the various properties of lines and figures represented in the coordinate axes. ![]() The coordinates of a point are useful to perform numerous operations of finding distance, midpoint, the slope of a line, equation of a line. Ordinate: It is the y value in the point (x, y)., and is the perpendicular distance of the point from the x-axis, which is parallel to the y-axis.Abscissa: It is the x value in the point (x, y), and is the distance of this point along the x-axis, from the origin.The point represented in the fourth quadrant (x, -y) is plotted with reference to the positive x-axis and negative y-axis.Ī coordinate is an address, which helps to locate a point in space. For a two-dimensional space, the coordinates of a point are (x, y). Here let us take note of these two important terms.The point represented in the third quadrant (-x, -y) is plotted with reference to the negative x-axis and negative y-axis.The point represented in the second quadrant is (-x, y) is plotted with reference to the negative x-axis and positive y-axis. ![]()
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