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Will a graph of system equations that have the same slope and same y intercept have no solutions?
Yes, a graph of system equations that have the same slope and the same y-intercept represents the same line. Since both equations describe the same line, they have infinitely many solutions, as every point on the line is a solution. Therefore, such a system does not have no solutions; it has an infinite number of solutions.
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
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.
One equation in a system of linear equations has a slope of -3 the other equation has a slope of 4 how many solutions does the system have?
A system of linear equations with slopes of -3 and 4 represents two lines that are not parallel. Since the lines have different slopes, they will intersect at exactly one point. Therefore, the system has one unique solution.
If a system of linear of linear equations has infinitely many solutions what does this mean about the two lines?
If a system of linear equations has infinitely many solutions, it means that the two lines represented by the equations are coincident, meaning they lie on top of each other. This occurs when both equations represent the same line, indicating they have the same slope and y-intercept. As a result, any point on the line is a solution to the system.
Will a graph of system equations that have the same slope and same y intercept have no solutions?
Yes, a graph of system equations that have the same slope and the same y-intercept represents the same line. Since both equations describe the same line, they have infinitely many solutions, as every point on the line is a solution. Therefore, such a system does not have no solutions; it has an infinite number of solutions.
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
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
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.
How do you use slope to graph linear equations?
Aidan beavis perera
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.
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
