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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.
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Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
When writing linear equations how do you determine which form of a line to use?
It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).
How are linear equations similar or different from functions?
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Why are linear equations called linear equations?
Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.
