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How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
What is the equation in slope intercept form of the line that has a slope of 5 and y intercept of -3?
8
How can we tell if two lines are parallel perpendicular or neither just from their equations?
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
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 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.
Determine whether the graphs of the equations are parallelperpendicular or neither?
Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
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.
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
What is the equation in slope intercept form of the line that has a slope of 5 and y intercept of -3?
8
When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
Do graphs represent equations?
Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.
What is a family of graphs as a math definition?
Graphs and equations of graphs that have at least one characteristic in common.
How can we tell if two lines are parallel perpendicular or neither just from their equations?
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
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
