# 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 13E
To determine

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

Expert Solution

The equation of the line is y=5x+11.

### Explanation of Solution

Given:

The required line is passing through the points (2,1) and (1,6).

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)61=m(12)6112=m51=m5=m

Therefore, m=5.

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

Substitute the values in the property mentioned above.

yy1=m(xx1)y1=(5)(x2)y1=5x+10y=5x+10+1y=5x+11

Thus, the equation of the line is y=5x+11.

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