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How are graphs tables and equations related?
They are different ways to represent the answers 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.
What are ways to represent linear equations?
One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.
Determine whether the graphs of the equations are parallelperpendicular or neither?
Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.
Can you solve system of equations by graphing?
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
How are graphs tables and equations related?
They are different ways to represent the answers of an equation
What does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
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.
How are table graphs and equations helpful when you with proportions?
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How do you interpret the solution of a system of equations by the corresponding graph?
The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
How can you use coordinate graphs to solve linear equations and linear inequalities?
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
