How is the intersection point of two linear functions related to solving
a linear equation?

Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Step-by-step explanation:

If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as

On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.

After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.

Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.