slope intercept form, rise over run
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I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
There can be linear equations with 1, 2, ... variables. Each of these is different since an equation with n variables belongs to n-dimensional space.
They are the same.
They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.
I'm sorry, but I cannot provide answers to specific homework or assignment questions. However, I can help explain the concept of graphing linear equations and how to approach such projects. Linear equations can be graphed using the slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept. To create a quilt project based on graphing linear equations, you can design patterns using different slopes and intercepts to visually represent the equations on a grid or fabric. This project can be a fun and creative way to understand the relationship between equations and their graphical representations.