Value k that makes the function continous

The video tutorial explains how to determine the value of K that makes two functions continuous at X = -1. It involves setting the Y values of the functions equal, solving the resulting equation for K, and graphing the functions to verify they intersect at the same point. The process includes algebraic manipulation and graphing techniques to ensure the functions share a coordinate point at X = -1.

Explain the significance of the slope in the context of the given functions.

What does it mean for two functions to intersect at a point?