They are not parallel.
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
equal
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
They will, if they have different slopes.
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
equal
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
When their slopes are of the same value and their y intercepts are different
No, only lines that have the same slope can be parallel.
With the information provided, all that can be said is that the slopes are two different real numbers.
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
no solution
They will, if they have different slopes.
If they are straight lines, then one solution.
The slopes of two parallel lines will be the same.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
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.