Parallel lines will have the same slope.
Then we can calculate the slope for this line and it will be the same for all its parallel lines.
Given two points (x1,y1) = (6,2) and (x2,y2) = (-6,3) we can calculate the slope m as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{-6-6}=\frac{1}{-12}=-\frac{1}{12}[/tex]
The slope for this line and all its parallels is m = -1/12.
Answer: -1/12
