Parallel lines
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.
same slopes = parallel lines
The slopes of two parallel lines will be the same.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
The slopes will be the same. It is also possible that both parallel lines have no slope defined - if they are vertical.
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
they have the same slopes
They are the same.
If you can find the slope of both lines, then yes you can tell. The slope for parallel lines is the same - so if your slopes are the same, your lines are parallel. If you are measuring (less exact) the lines will be the same distance apart everywhere.
The lines all have the same slope.
Lines with equal slopes are parallel, because they are going the same direction. If the slope and the intercept are the same, the lines are coinciding, because they are on top of each other.
The same slope