For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following equation:
With slope
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:
We replace the point (5,5) through which the line passes and find "b":
Finally, the equation is:
On the other hand, if two lines are perpendicular then the product of their slopes is -1. Thus, the slope of a perpendicular line will be:
Thus, the equation is of the form:
We substitute the point (5, -5) through which the line passes and find "b":
Finally, the equation is:
Answer: