Define linear equation and function?Are they the same? Why or why not?

A linear equation is an equation with one or more
variables but the degree of the highest of the  terms of the equation  is
one.

Example : 5x+3y = 10 ,  x+3y+z = 15 , 5x +8= 3x-7
etc.

A function is a relation between two sets in such a
way that every element of one set is reated to a unique element of the second set. A
linear function definitely is linear equation or viceversa. But the purpose and
perspectives of the equation and function is slighly different. We use function and
graph from the purpose of analysis of relation. In equation we want particular solution
of the variables.