   Chapter 4.1, Problem 29E 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 ,     0 ) and ( 5.5 ,     3 ) and the line through ( 5 ,     0 ) and ( 0 ,     6 ) .

To determine

To calculate: The intersection point of the line passing through (0,0) and (5.5,3) and the line passing through (5,0) and (0,6), graphically, with the help of graphing calculator.

Explanation

Given Information:

The line is passing through (0,0) and (5.5,3) and another line is passing through (5,0) and (0,6).

Formula used:

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

Calculation:

Consider the points, (0,0) and (5.5,3)

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

Substitute (0,0) for (x1,y1) and (5.5,3) for (x2,y2) in yy1=y2y1x2x1(xx1).

y0=305.50(x0)y0=35.5(x0)y=35.5x5.5y=3x

Simplify it further,

5.5y=x3x5.5y=0 …… (1)

Consider the points, (5,0) and (0,6)

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

Substitute (5,0) for (x1,y1) and (0,6) for (x2,y2) in yy1=y2y1x2x1(xx1)

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