   Chapter 10.2, Problem 37E

Chapter
Section
Textbook Problem

# Eliminating a Parameter In Exercises 39-42, eliminate the parameter and obtain the standard form of the rectangular equation.Line through ( x 1 ,   y 1 ) and ( x 2 ,   y 2 ) : x = x 1 + t ( x 2 − x 1 ) ,   y = y 1 + t ( y 2 − y 1 )

To determine

To calculate: The rectangular equation of the line through the points given as, (x1,y1) and (x2,y2) by the elimination of the parametric equation: x=x1+t(x2x1),y=y1+t(y2y1).

Explanation

Given:

The line is passing through the points, (x1,y1) and (x2,y2) with parametric equations given as:

x=x1+t(x2x1),y=y1+t(y2y1).

Formula used:

The slope (m) of the line passing through the points, (x1,y1) and (x2,y2) is given by

m=y2y1x2x1.

Calculation:

The parametric equations are x=x1+t(x2x1),y=y1+t(y2y1).

Substitute t from the equation given as, x=x1+t(x2x1) in y=y1+t(y2y1):

x=x1+t(x2x1)xx1

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 