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 .

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 .

By definition, lines are parallel if they have the same slope. Given that the reference equation provided is in the  form, we can quickly deduce that the slope is  . Out of the provided options there is only one answer that offers a slope of , therefore that is the correct answer. The y-intercept is not a determinant of lines being parallel or perpendicular. 

Parrallel lines, by definition have the same slope, or . 

You must get the second equation into  form. To do this you need to multiply everything by , the reciprocate of one-third. So:

Which simplifies to  

because the first and second equation have the same slope, they are parrallel.

Two lines are parellel if they have the same slope.  If we look at an equation of a line in slope-intercept form

we know that m equals the slope.  So, in the equation

the slope of the line is 4.  So, the answer must also have a slope of 4.  If we look at 

we must write it in slope-intercept form.  To do that, we must get y by itself.  We must divide each term by 4.  We get

The slope of this line is 4.  Therefore, it is parallel to the original line.

Which of the following lines is parallel to h(t)?

Parallel lines have equal slope. In h(t), our slope is 14, so we need the other choice with a slope of 14.

Only one other option has a slope of 14, and that is:

Don't be fooled by lines with the same y-intercept. Slope is all that matters here!

Parallel lines have the same slope. If they didn't, the lines would eventually intersect and certainly would not be parallel. The slope is m in y=mx+b form. Since all of these lines are in slope intercept form just select the two that have the same slope.

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.

If two lines are parallel, then they have the same slope.  To find the slope of a line, we write it in slope-intercept form

where m is the slope.  So given the equation

we must solve for y.  To do that, we will divide each term by 5.  We get

We can see the slope of this line is -3.  Therefore, this line is parallel to the line 

because it also has a slope of -3.

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of 4, while the second has a slope of 2 meaning the lines are not parallel.