When comparing two lines to see if they are parallel, they must have the same slope. To find the slope of a line, we write it in slope-intercept form

where m is the slope.

The original equation

will need to be written in slope-intercept form. To do that, we will divide each term by 4

Therefore, the slope of the original line is . A line that is parallel to this line will also have a slope of .

Therefore, the line

is parallel to the original line.

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

In this equation, equals the slope and represents the y-intercept.

In the given equation:

Only one of the choices 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:

Parallel lines share the same slope.

Only one of the choices has a slope of .

Because of the Corresponding Angles Theorem (Angle 2 and Angle 5), Alternate Exterior Angles (Angle 2 and Angle 8), and Vertical Angles (Angle 2 and Angle 4).

Lines can be written in the slope-intercept form:

In this form, equals the slope and represents where the line intersects the y-axis.

Parallel lines have the same slope: .

Only one choice contains tow lines with the same slope.

The slope for both lines in this pair is .

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation, equals the slope and represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

Lines can be written using the slope-intercept equation format:

Lines that are parallel have the same slope.

The given line has a slope of:

Only one of the choices also has the same slope and is the correct answer:

For the lines to be parallel, both the lines must have similar slopes.

Write the slope-intercept form.

The represents the slope. Both of the equation have a slope of negative three. Therefore, both lines are parallel.

The answer is:

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:

Parallel lines share the same slope.

Only one of the choices has a slope of .

Parallel lines are lines that never intersect. This is a result of having the same slope, creating equal distance between points on the two lines.

The student would run through the sets of equations putting them into form to isolate , the variable representing the slope of the line.

The only set of equations with the same slope is

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