# 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 11E
To determine

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

Expert Solution

The equation of the line is y=6x15.

### Explanation of Solution

Given:

The required line is passing through the point (2,3) and the slope of the line is 6.

Property used:

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

Calculation:

Consider the given point be (x1,y1)=(2,3) and the slope m = 6.

Substitute the values in the property mentioned above.

yy1=m(xx1)y(3)=6(x2)y+3=6x12y=6x123y=6x15

Thus, the equation of the line is y=6x15.

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