If they are straight lines, then one solution.
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
no solution
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
inconsistent
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
They are not parallel.
No
equal
When their slopes are of the same value and their y intercepts are different
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
No, only lines that have the same slope can be parallel.
equal
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
-2. Slopes of parallel lines are the same. If the lines are different it is the intercedpt that is different.
They will, if they have different slopes.