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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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 the slopes are the same on both graphs, they are parallel, and will never touch.
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.
yes they are parallel.
Inconsistent