   Chapter 11.5, Problem 2E

Chapter
Section
Textbook Problem

# Checking Points on a Line In Exercises 5 and 6, determine whether each point lies on the line. x − 3 2 = y − 7 8 , z = + 2 (a) ( 7 , 23 , 0 ) (b) ( 1 , − 1 , − 3 ) (c) ( − 7 , 47 , − 7 )

(a)

To determine
For theline x32=y78=z+2.

Find if the point (7,23,0) lies on it.

Explanation

Given:

The equations of the line are:

x32=y78=z+2

The provided point is (7,23,0).

Explanation:

Equations of the line

x32=y78=z+2

This is the symmetric equation of a line in space.

Convert this equation into the parametric equation of the line by equating the whole expression with a parameter t,

We get

x32=y78=z+2=t

Therefore, the parametric equations of the lineare,

x=2t+3,y=8t+7

and

z=t2

As we know point is, (7,23,0)

Let us replace the values of x,y and z with above pointin the given equations

(b)

To determine
For theline x32=y78=z+2

Find if the point (1,1,3) lies on it.

(c)

To determine
For theline x32=y78=z+2.

Find if the point (7,47,7) lies on it.

### 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 