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the name and algerba is focuasing on graphs and all of that fun stuff as the other does not
They are different ways to represent the answers of an equation
y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).
i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation
Yes as for example straight line equations can be plotted on the Cartesian plane