For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand, we have that if two lines are parallel then their slopes are equal.
Given the line AB: the slope is
Therefore, a parallel line will have slope
Thus, the equation is of the form is:
We substitute pointand find "b":
Finally, a line parallel to line AB is:
Answer: