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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
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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
If two linear equations are in standard form how can you tell that the graphs are parellel?
If the slopes are the same on both graphs, they are parallel, and will never touch.
A system of equations with no solutions?
Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.
When two line equations have the same slope but different y-intercepts are they parallel?
yes they are parallel.
A system of equations of two or more parallel lines is called a what?
Inconsistent
By looking at two linear equations how can you tell that the corresponding lines are parallel?
By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.
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
How can you tell linear equations are parallel?
Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
If two linear equations are in standard form how can you tell that the graphs are parellel?
If the slopes are the same on both graphs, they are parallel, and will never touch.
A system of equations with no solutions?
Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.Here is an example:x + y = 0x + y = 1If you draw the graph for the two equations, you'll have two parallel lines.
When two line equations have the same slope but different y-intercepts are they parallel?
yes they are parallel.
How do you identify two linear equations that are parallel using slopes of two lines?
Two linear equations that are parallel with have the sameslope, or the m value in y = mx + b will be the same.For example, y = 3x + 5 is parallel to y = 3x - 6
A system of equations of two or more parallel lines is called a what?
Inconsistent
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
How do you solve parallel equations?
Parallel lines never meet and so parallel equations do not have any simultaneous solution.
How can you tell if two equations in slope- intercept form would graph as parallel?
If the slope is the same, they are parallel. [Also, if the slopes of the two lines multiply to -1, they are perpendicular.] The slope-intercept form is y = mx + b where m and b are constants. If two different equations in this form both have the same value for m, they are parallel. Example y = 3x + 3 y = 3x - 10 As the top answer suggests, m is the slope.
