The slopes of two parallel lines are identical, meaning they have the same numerical value. This is because parallel lines maintain a constant distance from each other and do not intersect, which requires their slopes to be equal. If one line has a slope of ( m ), the other line will also have a slope of ( m ).
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.
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.
They are not parallel.
equal
Yes
The slopes of two parallel lines will be the same.
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.
They are not parallel.
Parallel lines have the same slope.
No, only lines that have the same slope can be parallel.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
equal
The same slope
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
Two parallel lines have equal slopes.
Yes
When their slopes are of the same value and their y intercepts are different