0
They are not.
Some graphs are based on equations but not all of them.
Conversely, while many equations that you would come across in basic mathematics can be graphed, there are many more (in advanced mathematics) that cannot be graphed.
If you want an example of the latter, consider the following function:
f(x) = 1 when x is rational
f(x) = 0 when x is irrational
Try graphing that for 0<x<1 (or any interval of your choosing).
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What outcome is not possible for the graph of a system of two linear equations?
the equation graphs
Can there be more than one point of intersection between the graphs of two linear equations?
Normally no. But technically, it is possible if the two linear equations are identical.
How many solutions will a system of equations have if the graphs of the lines intersect?
A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.
True or false Graphs are representations of equations?
true
Why do some graphs not start at the origin?
Because not all equations have the co-ordinates 0,0 in their data range.
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.
How are table graphs and equations helpful when you with proportions?
e
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.
