Question

Describe in words the lines having the following parametric equations. Sketch the lines.

c)
x = -5
y = 2 + t
z = 2 + t

I don't get this question, please tell me how to retrieve the answer and not just the answer!

Answer 1

This is one line in 3-D, you are not dealing with "lines".

In a set of parametric equations, which describe one line, each equation tells you about the behaviour of each of the variables,
so the first one tells you about the x,
the second about the y, etc

from your equations I can tell that the line passes through the point (-5,2,2) and has direction (0,1,1)

by giving any values to t, the parameter, you can create a table of points, which will form a straight line in 3-D
eg. let t=1
x=-5
y=3
z=3 so new point is (-5,3,3)

let t=5
x = -5
y=7
z=7 new point is (-5,7,7)

Answer 2

if you roll a fair number cube 30 times ,how many would you expect to roll a number that is a multipule of 3.