I believe the eqns should be
x= 24+7t y= 4 + t z = 20 + 5t
then y= 0 = z for t = -4
then x(-4) = -4 there are no z or y intercepts
you don't need to use the symmetric equations
If they exist, find the x-,y-,and z-intercepts of the line x=24+7t, y=4+t, z=-20-5t.
So this question seems very straight forward, but for some reason I cannot come up with the correct answer as the back of the book says. Their answer is... xintercept is -4.
This is my work:
Sym eqtn:
(x-24)/7 = (y-4)/1 = (z+20)/-5
Find x intercept, let y and z =0
(x-24)/7 = -4=-4
x-24=-28=-28
x=-28+24=-28
x=-4=-28
x=24=0
x=24