Question

At what point does this line, intersect the xy-plane

Answer 1

Line:

x=2+t
y=4-5t
z=-3+4t

Answer 2

what i did was set z=0, and obtainied t=3/4

Answer 3

then i plugged that t=3/4 into the x and y equations and got:
x=11/4 and y=1/4

Answer 4

so, i said the point of intersection is (11/4,1/4 ,0)

Answer 5

that is correct

Answer 6

thank you

Answer 7

you're welcome