Question

Given the line; 2x-3y=5, find the following.
a. A vector that is parallel to the line.
b. A vector that is perpendicular to the line.

Answer 1

if you convert the line in the form of f(x)=ax+b
where a is the slope of the line, and b is the value of y for x=0
you get from
2x-3y=5 => y=(2/3)x-(5/3)
any other function with the same value of a and different value of b will be parallel to 2x-3y=5
then if you change the sign of the a you will have a perpendicular line to 2x-3y=5