Chapter 4.1, Problem 27E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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)Ā andĀ (4.2,2) and the line passing through (2.1,3)Ā andĀ (5.2,0).

Formula used:

The equation of a line passing through two points (x1,y1)Ā andĀ (x2,y2) is yāy1=y2āy1x2āx1(xāx1).

Calculation:

Consider the points, (0,1)Ā andĀ (4.2,2)

Recall that the equation of a line passing through two points (x1,y1)Ā andĀ (x2,y2) is yāy1=y2āy1x2āx1(xāx1).

Substitute (0,1) for (x1,y1) and (4.2,2) for (x2,y2) in yāy1=y2āy1x2āx1(xāx1).

yā1=2ā14.2ā0(xā0)Ā Ā Ā Ā Ā Ā Ā Ā Ā yā1=14.2(xā0)Ā 4.2(yā1)=(xā0)Ā Ā Ā Ā 4.2yā4.2=xā0Ā

Simplify it further,

xā4.2y=ā4.2 ā¦ā¦ (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 yāy1=y2āy1x2āx1(xāx1).

Substitute (2.1,3) for (x1,y1) and (5.2,0) for (x2,y2) in yāy1=y2āy1x2āx1(xāx1).

yā3=0ā35.2ā2.1(xā2.1)Ā Ā Ā Ā Ā Ā Ā Ā Ā yā3=ā33

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