The slopes of two parallel lines will be the same.
When their slopes are of the same value and their y intercepts are different
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.
They are not parallel.
equal
The slopes of two parallel lines will be the same.
When their slopes are of the same value and their y intercepts are different
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.
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.
Parallel lines have the same slope.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
The same slope
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.
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.