You don't really need to know this unless you have any drive, or desire to rise above the dumbified populations and make the world a better place through science.
If you do want to do something of value, not just asking people if they want their number 1 super-sized, graphing linear equations is a step in understanding higher level mathematics - the kind of math they used to get folks on the moon, design cars, create amortization schedules, etc.
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No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
I never need them :D
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Press Y= to see the equations. Enter and equation in, using x as the variable. (Press X,T,θ,n for an x.) Enter an equation and press GRAPH to see it. (If you need to graph parametric, polar, or sequential equations, press MODE and select the graph type you need. Select FUNC for normal y= equations.)
It is a linear expression in two variables. As an expression it cannot be solved. Furthermore, to solve equations in two variables you need at least two linear equations.