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The graph of a system of equations with the same slope will have no solutions?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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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
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.
How many solution does a system of equation with lines of same slope and y-intercept have?
Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
Why is m the symbol used for slope in mathematical equations?
In linear equations, the multiple of the x-term dictates the gradient of the graph when plotted. Thus y=3x has a gradient (or slope) of 3. As it is the "multiple" of the x-term, "m" seems a sensible letter to use.
Is The graph of a system of equations with the same slope will have no solutions?
Yes.
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?
point-slope formula and finding the slope of the line.
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.
Does every pair of linear simultaneous equations have a solution?
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
