# Thread: Parameterization of a Line (HELP!!!)

1. ## Parameterization of a Line (HELP!!!)

A line is parameterized by x=5+5t and y=2+6t.

(a) Which of the following points are on the section of the line obtained by restricting t to nonnegative numbers
(−10,−16):
(20,20):
(35,38):
Then, give one more point that is on the section of the line obtained by this restriction:

(b) What are the endpoints of the line segment obtained by restricting t to −5<=t<=−4?
left endpoint :
right endpoint :

(c) How should t be restricted to give the part of the line below the x-axis?
t must be in the interval:

2. Originally Posted by iheartthemusic29
A line is parameterized by x=5+5t and y=2+6t.

(a) Which of the following points are on the section of the line obtained by restricting t to nonnegative numbers
(−10,−16):
(20,20):
(35,38):
Then, give one more point that is on the section of the line obtained by this restriction:

(b) What are the endpoints of the line segment obtained by restricting t to −5<=t<=−4?
left endpoint :
right endpoint :

(c) How should t be restricted to give the part of the line below the x-axis?
t must be in the interval:
(a) Start by making t the subject for each of x=5+5t and y=2+6t and then equate the two expressions. That will give you the Cartesian equation.

(b) Substitute the value of t into x=5+5t and y=2+6t to get the coordinates on the line corresponding to that value.

(c) You require y < 0 => 2+6t < 0.