Yes as for example straight line equations can be plotted on the Cartesian plane
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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
Graphs compare quantities which are related to each other and are used to simplify or replace a written comparison of information
If you are talking about linear graphs, m refers to the gradient (aka slope or rate of change).