Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

First, you should put the equation in slope intercept form (y = _m_x + b), where m is the slope.

Isolate the y term

3x + 8y – 3x = 16 – 3x

8y = 16 – 3x

Rearrange terms

8y = –3x +16

Divide both sides by 8

The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

When two lines are parallel, they have the same slope. With this in mind we take the slope of the first line which is and make it the slope of our parallel line.

If , then .

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

Lines can be written in the slope-intercept format:

In this format, equals the line's slope and represents where the line intercepts the y-axis.

In the given equation:

And it has a slope of:

Parallel lines share the same slope.

The parallel line has a slope of .

By definition, lines are parallel if they have the same slope.

The problem states that line A has a slope of and that line X is parallel to it.

This means that line X must also have a slope of .

The y-intercept is not a determinant of lines being parallel or perpendicular.

To find the slope of a line parallel to any equation, the slopes will always be the same. We need to ensure we have form. stands for slope. In this case, which is also our answer.