# 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 17E
To determine

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

Expert Solution

The equation of the line is y=3x3.

### Explanation of Solution

Given:

The required line is passing through x intercept 1 and y intercept 3.

Property used:

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

The equation of the line with slope m and y intercept b is, y=mx+b.

Calculation:

To find the slope, solve the equation, consider the intercepts as points (1,0) and (0,3)

yy1=m(xx1)30=m(01)31=m3=m

Therefore, m=3.

Substitute the values in the property mentioned above.

m=3, b=3Therefore,y=3x3

Thus, the equation of the line is y=3x3.

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