   Chapter 4.1, Problem 27E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 21-30, use technol.ogy to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. {Zoom in/or improved accuracy.)Find the intersection of the line through ( 0 ,     1 ) and ( 4.2 ,     2 ) and the line through ( 2.1 ,     3 ) and ( 5.2 ,     0 ) .

To determine

To calculate: The intersection point of the line passing through (0,1) and (4.2,2) and the line passing through (2.1,3) and (5.2,0), graphically, with the help of graphing calculator.

Explanation

Given Information:

The line passing through (0,1) and (4.2,2) and the line passing through (2.1,3) and (5.2,0).

Formula used:

The equation of a line passing through two points (x1,y1) and (x2,y2) is yy1=y2y1x2x1(xx1).

Calculation:

Consider the points, (0,1) and (4.2,2)

Recall that the equation of a line passing through two points (x1,y1) and (x2,y2) is yy1=y2y1x2x1(xx1).

Substitute (0,1) for (x1,y1) and (4.2,2) for (x2,y2) in yy1=y2y1x2x1(xx1).

y1=214.20(x0)         y1=14.2(x0) 4.2(y1)=(x0)    4.2y4.2=x0

Simplify it further,

x4.2y=4.2 …… (1)

Now, consider the points, (2.1,3) and (5.2,0)

Recall that the equation of a line passing through two points (x1,y1) and (x2,y2) is yy1=y2y1x2x1(xx1).

Substitute (2.1,3) for (x1,y1) and (5.2,0) for (x2,y2) in yy1=y2y1x2x1(xx1).

y3=035.22.1(x2.1)         y3=33

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 