Find the parametric representation of Straight line y 4x 1

Find the parametric representation of: Straight line y = 4x - 1, z = 5x Straight line through (2, 1, 3) in the direction of cap i + 2 cap j

Solution

a)
let
x = t
y = 4t-1
z=5t
so parametric equation will be:
r(t) = <t , 4t-1 , 5t>

b)
eqn of line = <2,1,3> + t <1,2,0>
= <2+t , 1+2t , 3>