Question: Show that the parametric equations for a line passing through the points (x 1 , y 1 ) and (x 2 , y 2 )

Show that the parametric equations for a line passing through the points (x1, y1) and (x2, y2) are 

х%D (х, — х,)t + x1 у %3D (У2 — У1)r + У, -оо < t<o - 00 <t < 00


What is the orientation of this line?

%D (, ,)t + x1 %3D (2 1)r + , - < t

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x x... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

(a) Show that the parametric equations x = x1 + (x2 x1)t y = y1 + (y2 y1) t where 0

Q:

(a) Show that the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u, 0

Q:

(a) Show that the parametric equations x = a cosh u cos v, y = b cosh u sin v, z = c sinh u, represent a hyperboloid of one sheet. (b) Use the parametric equations in part (a) to graph the...

Q:

PLEASE HELP I NEED ANSWER ASAP!! THANK YOU CALCULUS SUBJECT Find parametric equations for the line passing through the points (2, -1) and (-1, 5). A X = -3t, y = -16t B x = 2 - 3t, y = -1+6t C x = -2...

Q:

Unit 6 Assignment 1. A line passes through the points M (4,5) and N (9,5). Determine vector and parametric equations for this line. 2. A line passes through the points A (-3, 5) and B (-2, 4)....

Q:

Hi, I would very much appreciate it, if your help me answer these questions. As soon as possible. Please and thank you. Explanation is not required. 1. Which of the following vectors is perpendicular...

Q:

Hi, I would very much appreciate it, if your help me answer these questions. As soon as possible. Please and thank you. 1. Which of the following vectors is perpendicular to the line passing through...

Q:

If someone can please help me, I need help with the following homework questions: Queation 1. [15 points) 1. (i) Write parametric and symmetric equations of the line passing through the points A(2,...

Q:

1. Which of the following equations represents a vector equation of a line having a direction vector m = (1, -2) and passing through the point P. (3, 5)? a) r = (1, -2) + t(3,5) tER c) r = (1, -2) +...

Q:

Consider the plane it : x - 2y = 4, the line & : x = 3 - t, y =-1 + 4t, z = 2 - 2t, and the points P(2, 4, -1) and @(3, 1, 0). (b) Write parametric equations of the line passing through the points P...

Q:

(a) Prove that if u is orthogonal to both v and w, then u is orthogonal to v + w. (b) Prove that if u is orthogonal to both v and w, then u is orthogonal to sv + tw for all scalars s and t.

Q:

Where in the balance of payments accounts do the flows of laundered money by drug dealers and international terrorist organizations appear?

Q:

None Starlight Electronics had total assets of $950,000 and total liabilities of $410,000. If the company earned $180,000 in net income and distributed $65,000 in dividends, what is the company's...

Q:

1. What is a target capital structure? How is it different from the optimum capital structure?

Q:

For the following exercises, list all possible rational zeros for the functions. f(x) = 6x 4 10x 2 + 13x + 1

Q:

For the following exercises, use the given information to answer the questions. The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute (rpm))...

Q:

For the following exercises, write the equation for the graphed function. -6-5-4-3-2-1

Q:

Braddock Construction Co.'s stock is trading at $20 a share. Call options that expire in three months with a strike price of $20 sell for $1.50. Which of the following will occur if the stock price...

Q:

In a large doll store, 47% of the dolls blink, 56% of the dolls have movable legs and arms, and 23% of the dolls neither blink nor have movable limbs. Find the probability that a doll chosen at...

Q:

Well-Being.CA, an online pharmacy, promises to deliver prescriptions to its customers for free. Online consultations with their pharmacists and doctors are also offered. Recently, the company's...