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Q: Is The graph of a system of equations with the same slope will have no solutions?
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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.


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

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


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.


The graph of a system of equations with the same slope will have no solutions?

That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution, because it's the point that satisfies each equation in the system. Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.


What equations will have a graph with a slope of negative 3?

That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope


How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.


Provide a system of TWO equations in slope-intercept form with no solutions how to explain why this system has no solutions?

y = mx + b y = mx + c c does not equal b the two equations are parallel and will therefore never intersect with one another.


How do you use slope to graph linear equations?

Aidan beavis perera


Does this system of equations have one solution no solutions or an infinite number of solutions 2x - y equals 8 and x plus y equals 1?

Solve both equations for y, that is, write them in the form y = ax + b. "a" is the slope in this case. Since the two lines have different slopes, when you graph them they will intersect in exactly one point - therefore, there is one solution.


What is the importance of slope intercept form?

makes it very easy to graph linear equations


If the graphs of two linear equations in a system have the same slope the system has what kind of solution?

If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.


Are there any solutions to the system of inequalities y equals 2x plus 3 and y equals 2x - 1?

There are no common points for the following two equations: y = 2x + 3 y = 2x - 1 If you graph the two lines, since they have the same slope, they are parallel - they will never cross.