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The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True

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Q: The graph of a system of equations with the same slope and the same y intercepts will have no solution?
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Related questions

Why do you need x intercepts for quadratic equations?

so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis


Solving the system of equations by graphing?

Graph both equations on the same graph. Where they intersect is the solution to the system of equations


Can two perpendicular equations have different y-intercepts?

If 2 equations are perpendicular to one another they can have different y-intercepts, depending on how they are situated on a (x,y) graph.


What does a single solution to a system of equations mean?

It represents the point of intersection on a graph.


Does the graph of a system of equations with different slopes have no solutions?

The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.


How can graphs be used to estimate the solution for a system of linear equations?

Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.


If a system of linear equations has no solution then the graph of the two equationsmust be what kind of line?

parallel


How do you use a graphing calculator to solve quadratic equations?

Graph the equation then find the x intercepts.


How do you interpret the solution of a system of equations by the corresponding graph?

point-slope formula and finding the slope of the line.


Can all the linear equations be graph using the intercept?

Yes - provided you allow both x and y intercepts.


How you can obtain the solution to a system of equations by graphing?

In the same coordinate space, i.e. on the same set of axes: -- Graph the first equation. -- Graph the second equation. -- Graph the third equation. . . -- Rinse and repeat for each equation in the system. -- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph) where all of the individual graphs intersect. Since those points or lines lie on the graph of each individual graph, they are the solution to the entire system of equations.


What parts come together when you graph point slope equations?

coordinate planes, intercepts, #'s, ordered pairs..etc.