Chapter 4.1, Problem 3E

To determine

To write the equationof a line with slope as $2$ and $y$ -intercept as $9$ .

Answer to Problem 3E

The equation of the line is $y=2x+9$ .

Explanation of Solution

Given:

  Slope $=$$2$

  $y$ -intercept $=$$9$

Formula Used:

The equation of a line is typically written as $y=mx+b$ where m is the slope and $b$ is the $y$ -intercept.

Calculation:

Given:

  Slope $=$$2$

  $y$ -intercept $=$$9$

As per the above definition, we have equation of the line as

  $y=mx+b$

  $y=2x+9$

Thus, the equation of the line is $y=2x+9$ .

Conclusion:

Hence, the equation of the line is $y=2x+9$ .