Algebra 1 : Parallel Lines
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Example Question #101 : How To Find Out If Lines Are Parallel
Given the equations 
Yes, the lines are parallel since slopes are alike.
Yes, the lines are parallel since slopes are alike.
For the lines to be parallel, both the lines must have similar slopes.
Write the slope-intercept form.
The 
The answer is:
Example Question #101 : How To Find Out If Lines Are Parallel
Which of the following lines is parallel to
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 6. We get
We can see the slope of this line is -7. Therefore, this line is parallel to the line
because it also has a slope of -7.
Example Question #102 : How To Find Out If Lines Are Parallel
How can you tell if two lines are parallel?
When looking at parallel lines, the slopes on both lines must be the same. The y-intercept (or any other characteristic) of the lines do not matter.
As long as the slopes are the same, the lines are parallel.
Example Question #106 : How To Find Out If Lines Are Parallel
Which of the following lines are parallel to 
In order to determine whether if the lines are parallel, the lines must never intersect and share a similar slope to the equation given in the problem.
The equation is already in the form of:
The variable 
The slope of the other line must be three to be parallel.
The only possible answer is:
Example Question #107 : How To Find Out If Lines Are Parallel
Determine if the two lines are parallel
Lines are dependent
Lines are NOT parallel
Lines are parallel
Cannot be determined
Lines are NOT parallel
When given the equations of a line in slope-intercept form
the lines are parallel if both of the following conditions are met
-
is the same value for both equations
-
are different values in the two equations
For the lines
we see that the 
the lines are NOT parallel.
Example Question #104 : How To Find Out If Lines Are Parallel
Which of the following equations of a line is parallel to that of:
It is important to know that parallel lines have the same slope.
To see which line is parallel to the given equation you need to get all the lines in the form of 
Example Question #101 : How To Find Out If Lines Are Parallel
Which of the following lines (expressed in slope-intercept form) is parallel to the line with the equation 
Parallel lines have the same slope, so without needing to graph these equations, all we must do is identify the slope. Each of the equations is already in slope-intercept form, so we must only remember that the equation of a line is 
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