Final answer:
The linear equation for Kartikeya and Pallavi's collection goal is y = 25, representing a total collection of Rs 25. This is graphed as a horizontal line on the y-axis at y = 25, indicating the invariant total amount regardless of individual contributions.
Step-by-step explanation:
The linear equation that represents Kartikeya and Pallavi's collection goal can be expressed as y = 25, where y represents the total amount of money collected in Indian Rupees, and this equation implies that no matter how the collection is divided between Kartikeya and Pallavi, the total amount remains Rs 25. Since there is only one variable and the equation is independent of the other, it's graphed as a horizontal line on the y-axis at y = 25.
To create a graph of this, draw a two-dimensional Cartesian plane with an x-axis and a y-axis. The x-axis might represent Kartikeya's contribution, and the y-axis represents the total amount collected. Since the collection goal does not change with Kartikeya's contribution, the graph is a horizontal line crossing the y-axis at y = 25.