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.
The slope of a line on a graph can be zero, or any positive or negative real whole number or fraction or decimal.
coordinate planes, intercepts, #'s, ordered pairs..etc.
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
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
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.
y = mx + b y = mx + c c does not equal b the two equations are parallel and will therefore never intersect with one another.
Aidan beavis perera
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 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.
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.