# The equation of the line for the given conditions. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter B, Problem 14E
To determine

## To find: The equation of the line for the given conditions.

Expert Solution

The equation of the line is y=x1.

### Explanation of Solution

Given:

The required line is passing through the points (1,2) and (4,3).

Property used:

The equation of the line passes through the point (x1,y1) and having slope m is, yy1=m(xx1).

Calculation:

To find the slope, solve the equation,

yy1=m(xx1)3(2)=m(4(1))3+24+1=m55=m1=m

Therefore, m=1.

Consider the given point be (x1,y1)=(1,2) and the slope m = 5.

Substitute the values in the property mentioned above.

yy1=m(xx1)y(2)=1(x(1))y+2=x+1y=x+12y=x1

Thus, the equation of the line is y=x1.

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