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The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.

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14y ago

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Related Questions

How are graphs tables and equations related?

They are different ways to represent the answers of an equation


Graphs are representations of equations.?

Line graphs may represent equations, if they are defined for all values of a variable.


Do graphs represent equations?

Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.


What is a family of graphs as a math definition?

Graphs and equations of graphs that have at least one characteristic in common.


How can you tell linear equations are parallel?

Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.


Is it true that Graphs are representations of equations?

truetrue


What do you call the graphs that intersect at exactly one point which gives solution of the system?

They are straight line graphs that work out the solutions of 2 equations or simultaneous equations


Explain why graphs are important?

graphs allow for an alternative visual method to solve mathematical equations.


When to use graphs in solving equations?

Graphs are particularly useful in solving equations when you want to visualize the behavior of functions and their intersections. They can help identify solutions graphically, especially for nonlinear equations where algebraic methods may be complex. Additionally, using graphs allows for a quick assessment of the number of solutions and their approximate values. Overall, graphs are a valuable tool for understanding the relationships between variables in equations.


How are tables graphs and equations helpful when you work with proportions?

Tables, graphs, and equations are essential tools for working with proportions as they provide clear and organized ways to visualize relationships between quantities. Tables allow for easy comparison of values, making it straightforward to identify proportional relationships. Graphs illustrate these relationships visually, helping to identify trends and patterns. Equations enable precise calculations and manipulations, facilitating the solving of proportion-related problems.


How are table graphs and equations helpful when you with proportions?

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How are the graphs of systems of linear equations and inequalities related to their solutions?

The graphs of systems of linear equations represent the relationships between variables, with each line corresponding to an equation. The point(s) where the lines intersect indicate the solution(s) to the system, showing where the equations are satisfied simultaneously. For systems of linear inequalities, the graphs display shaded regions that represent all possible solutions that satisfy the inequalities; the intersection of these regions highlights the feasible solutions. Therefore, both the graphs and their intersections are crucial for understanding the solutions to the systems.