Best Answer

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

Q: How can you tell if two equations are parallel?

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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

Related questions

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.

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

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.

The two equations represent parallel lines.

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.

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

yes they are parallel.

Inconsistent

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.

Parallel lines never meet and so parallel equations do not have any simultaneous solution.

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.