John K. answered • 01/12/20

MS in physics with over 2000 hours math tutoring experience

Using **bold **for vectors:

The vector equation for a line looks like:

**R**(t) = **R**_{0 }+ t**V **where **R**_{0 }is the postion vector of a point on the line, **V **is a vector parallel to the line, and t is a paremeter.

1) (pi,e) is the position vector of a point on the line. (1.0) is a horizontal vector (parallel to line); so

**R**(t) = (pi,e) + t(1,0)

The parametric form is the same information written a different way.

**R**(t) = (x,y) = (pi,e) + t(1,0)

Write the x and y parts as separate equations.

x = pi + 1*t x = pi + t

y = e + 0*t y = e