Yes.
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope
y = mx + b y = mx + c c does not equal b the two equations are parallel and will therefore never intersect with one another.
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.
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
To graph equations, first, rearrange the equation into a format like (y = mx + b) for linear equations, where (m) is the slope and (b) is the y-intercept. Plot the y-intercept on the graph, then use the slope to find another point. For nonlinear equations, calculate several values of (x) to find corresponding (y) values, then plot these points and connect them to form the curve. Finally, label your axes and provide a title for clarity.
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 statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
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.
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.
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope
Although there is no graph, the number of solutions is 0.
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.
Aidan beavis perera
y = mx + b y = mx + c c does not equal b the two equations are parallel and will therefore never intersect with one another.
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.
makes it very easy to graph linear equations
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.