200t + 8t^3 - 80t^2
8t(25 + t^2 - 10t) ....rearrange
8t(t^2 - 10t + 25)
8t(t - 5)(t - 5)
8t(t - 5)^2 <==
1/2 divide by 4/1 = 1/8
when u divide u flip the second fraction around and multiply
1/2 x 1/4 = 1/8
Sub in values for x,y,z into plane equation.
(1+t) + 2t - (-3t) = 1
Solve for 't'
6t + 1 = 1
t = 0
Sub back in t=0 into line to find point.
x = 1+0 = 1
y = 2(0) = 0
z = -3(0) = 0
Answer : The point is (1,0,0)