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Earn +20 ptsQ: Do equations with different slopes and different y-intercepts have a solution?
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A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
When equations of linear systems have different slopes how many solutions does it have?
One solution
Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How wold you classify two linear equations have the same y-intercept and different slopes?
Two linear equations (or lines) with the same y-intercept and different slopes are intersecting lines. They intersect at the y-intercept. If the slopes are negative reciprocals (ex: one slope is 3 and one slope it -1/3) then they are perpendicular lines.
Two lines that have different slopes but the same y-intercept?
no solution
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