Kerala State Syllabus 10th Standard Maths Textbooks English Medium Part 2

Geometry and Algebra What if we take some other pair of points, instead of (2, 5) and (6, 7)? For example, let’s take (1, 4) and (5, 12). As we move along the line joining them from (1, 4) to (5, 12), the x coordinate increases by 4 and the y coordinate by 8. In other words, the y change is twice the x change. And the same is true for any two positions on the line: Thus In moving along the line joining (1, 4) and (5, 12), the change in y at every stage is twice the change in x. In both these lines, as x increases, so does y. It can be otherwise. For example, if we take the points (3, 6) and (7, 4), as the x coordinate increases by 4, the y coordinate decreases by 2: What do we see in general in all these? In any line not parallel to either axis, the change in y coordinate is the product of the change in x coordinate with a fixed number Do you remember the name for such a change? In any line not parallel to either axis, the change in y is proportional to the change in x 223