That will depend on the given straight line equation and then by plotting the x and y values on a graph the result will be a straight line that may be positive, negative, parallel to the x axis or parallel to the y axis.
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Suppose A = (a, b) and B = (c, d) are two points on a straight line. Then the equation of the line is
(x - a)*(d - b) = (y - b)*(c - a)
or, equivalently,
x(d - b) - y(c - a) - ad bc = 0
... plotted accurately.
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
Functions and linear equations are the same in that they both deal with x and y coordinates and points on a graph but have differences in limitations, appearance and purpose. Often, functions give you the value of either x or y, but linear equations ask to solve for both x and y.
The word linear means in a straight line. If the graph is a line, it is linear. Also, linear equations are of the first order; they contain a variable but not a square (or higher power) of a variable. If the equation contains x2 it is not linear.
parallel