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Is The graph of a system of equations with the same slope will have no solutions?
Yes.
How many solutions will a system have if a graph of the solution is coinciding lines?
If a system of equations is represented by coinciding lines, it has infinitely many solutions. This occurs because every point on the line satisfies both equations, meaning that there are countless points that are solutions to the system. In this case, the two equations represent the same line in the coordinate plane.
When solving a system of equations by graphing you will need to graph the equations on the same?
When solving a system of equations by graphing, you will need to graph the equations on the same coordinate plane. This allows you to visually identify the point where the two lines intersect, which represents the solution to the system. If the lines intersect at a single point, that point is the unique solution; if the lines are parallel, there is no solution; and if they coincide, there are infinitely many solutions.
Can all the linear equations be graph using the intercept?
Yes - provided you allow both x and y intercepts.
What is the y-intercept of y equals 0.2x plus 0.70?
Equations don't have y-intercepts, but their graphs may. The y-intercept of the graph of the equation in this question is 0.7 .
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.
Is The graph of a system of equations with the same slope will have no solutions?
Yes.
How many solutions does the nonlinear system of equations graphed below have?
2
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
How do you solve systems of equations by graphing?
-- Graph each equation individually. -- Examine the graph to find points where the individual graphs intersect. -- The points where the individual graphs intersect are the solutions of the system of equations.
How many solutions will a system have if a graph of the solution is coinciding lines?
If a system of equations is represented by coinciding lines, it has infinitely many solutions. This occurs because every point on the line satisfies both equations, meaning that there are countless points that are solutions to the system. In this case, the two equations represent the same line in the coordinate plane.
What is the importance of slope intercept form?
makes it very easy to graph linear equations
When solving a system of equations by graphing you will need to graph the equations on the same?
When solving a system of equations by graphing, you will need to graph the equations on the same coordinate plane. This allows you to visually identify the point where the two lines intersect, which represents the solution to the system. If the lines intersect at a single point, that point is the unique solution; if the lines are parallel, there is no solution; and if they coincide, there are infinitely many solutions.
Which best describes the effect on the graph of y equals 4x plus 8 if the y-intercept is changed to -3?
If you were to graph both equations side by side, you would see that they are parallel lines. Both equations have the same slope it is just that the line would be moved down in the graph because of the intercept change.
How can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
What are two ways to verify that your solutions are correct?
Graph the equations and see where they meet. Substitute back into both equations
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.
