How would you write a vector equation for a line using parametric equations? For example:

A line is defined by x=-2-t and y=4+2t,teR. a) Write a vector equation for this line using parametric equations.
b) write a second vector equation different from the first

2 answers

Also, R(-9,18) lies on the line
The vector equation for the line is

r(t) = x(t) i + y(t) j
= (-2-t)i + (4+2t)j

r(0) = -2i+4j
r(t) = -2i+4j + t(-i+2j)