Well I'm a design engineer and I use them all the time.
If I know a few values that are true for say, power versus cost for an car engine, then I can make sensible estimates for the cost of more powerful car engine that hasn't been built yet. Equally I could use graph equations to get the answers for the power I could expect from a cheaper engine.
That's obviously just one of millions of possible applications to graph equations. You use them in Engineering, Design, Accountancy, Business, IT, Marketing, Banking, in Medicine, and in daily life for anything if you know how - take an iPhone for example, it works out how much battery it has left using a graph equation. An engineer built that into it.
You can use a graph to solve systems of equations by plotting the two equations to see where they intersect
You can.
One can solve equations of motion by graph by taking readings of the point of interception.
No, thank you.
Equations = the method
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
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.)
You graph each of them separately, on the same coordinate plane.
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
Yes.
Graph the equations and see where they meet. Substitute back into both equations
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope