Mid-Point Formula
The midpoint is the point that divides any line segment into two equal parts. The formula to find the midpoint of the line with endpoints A(x1, y1) and B(x2, y2) is given by,
midpoint (x,y) = {(x1+x2)/2 , (y1+y2)/2}
Example: Find the coordinates of the midpoint of the line segment joining points A(-5, 4) and B(7,-8).
Solution:
Let M(x, y) be the midpoint of AB. Then,
x = ((-5) + 7)/2 =1 and y = ((4 + (-8)) = -2
Hence, the required point is M (1, -2).
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Coordinate Geometry
Coordinate geometry is the branch of mathematics that deals with plotting the curve on the coordinate axes. Various curves can be plotted on the coordinate plane using coordinate geometry formulas. Co-ordinate geometry uses algebraic equations to plot various curves on the coordinate plane. One of the popular coordinate systems used in mathematics is the rectangular Cartesian system.
Table of Content
- What is Coordinate Geometry?
- Coordinates of a Point
- Distance Formula
- Mid-Point Formula
- Section Formula
- Slope Formula
- Area of Triangle
- Condition for Collinearity of Three Points
- Centroid of a Triangle