Chapter 8.5, Problem 13E

To determine

To give:

The equations of three lines that are parallel to the given line.

Answer to Problem 13E

The lines with equations $y=3x$ , $y=3x-2$ , and $y=3x+5$ are parallel to our given line.

Explanation of Solution

Given:

An equation: $y=3x+2$ .

Calculation:

We know that lines with same slope and different y -intercepts are parallel to each other as lines with same slope will never intersect to each other.

To write equations of parallel lines to our given equation, we only need to change the y -intercepts, while the slope will be same.

After using same slope and different y -intercepts, we will get:

  $y=3x$

  $y=3x-2$

  $y=3x+5$