01SEP21WED
Observation: At every point on the X-Axis, the Y-Coordinate is zero. Therefore y=0 is the equation of X-Axis. Similarly, x=0 is the equation of Y-Axis. [An equation is a mathematical statement that describes the behaviour of a line or curve in space.] What is the equation of Origin? Equations exist for lines or curves, not for points. (-1,-1), (0,0), (2,2), (5,5) are points on a line. What is its equation? Pattern: At every point on this line, the x-coordinate and the y-coordinate are equal. Therefore, the equation of the line is y=x. (1,2), (2,4), (3,6) are points on a line. What is its equation? Pattern: If x-coordinate is multiplied by 2, we get the y-coordinate. 2 times x is y. y=2x is the equation of the line. (1,-1), (4,-4), (0.5, -0.5) are points on a line. What is its equation? Pattern: If x is negated, we get y. y = -x is the equation of the line. (4,2), (8,4), (14,7) are points on a line. What is its equation? Pattern: x over 2 equals y, or, y multiplied by 2 gives x. y=x/2 o...