Slopes of Parallel Lines
Distinct parallel lines never intersect.
Lines that are parallel (and not vertical) have the same slope.
Example
Find the slope of a line parallel to the line that passes through the points
(3, 4) and (2, 6).
Solution
First, find the slope of the line through
the given points.
Let (x_{1}, y_{1}) = (3, 4) and (x_{2}, y_{2})
= (2, 6). 
m 

Substitute the values in the slope formula.
Simplify. 

= 2 
The slope of the line through (3, 4) and (2, 6) is 2.
A line parallel to the line through (3, 4) and (2, 6) has the same
slope, 2.
