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Earn +20 ptsQ: What is the relationship between the equations of parallel lines?
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What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
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.
What is the relationship of the slopes of parallel lines?
They are the same.
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
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