The coordinate geometry means to get the solution by using the algebraic methods. Two lines are present in the graph,i.e., vertical and horizontal. These two lines help in representing the x-axis and y-axis. The X-axis is presented on the horizontal line, whereas the Y-axis is presented vertically. There is a point O on which both lines will intersect.
Quadrants
In the pair of graphs, there are a total of 4 quadrants present. The details of these four quadrants are discussed here below:
- In the presence of the first quadrant, both x and y coordinates are positive.
- The x coordinate is negative in the second quadrant, whereas the y coordinate is positive.
- In the presence of the third quadrant, both x and y coordinates are negative.
- In the fourth quadrant, we see that the x coordinate is positive, whereas the y coordinate is negative.
Formula
- The formula for the coordinate geometry is always presented in the form of x and y.
- The specific formula of the geometry is
- The midpoint formula is always represented by x1, y1, and x2, y2.
- The slope of the given line is m and is presented by the formula m = -a / b.