Thus, the line will have the form .
To solve for , pick one of the points that the line passes through. I'll choose
Thus our line is . Our line could also be written in the form
This time, we are to find a line that is to . It also passes through the point (4,-7).
If lines are parallel, they must have the same slope.
Thus our parallel line has the form . To find b, plug in the point:
Thus, our parallel line is
The line we are looking for is to and it passes through the point
First, rewrite the line in slope intercept form:
The slope of the perpendicular line is the negative reciprocal of this line :
Thus the perpendicular line has the form of
Plug in the point to find b:
Thus, the line is
Does this make sense?