Algebra 1 : How to find out if lines are parallel
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Example Question #1 : How To Find Out If Lines Are Parallel
Which of the following lines are parallel to y = 2x + 5?
y = 4x + 3
y = 2x – 3
y = (–1/2)x + 6
y = 6x + 5
y = –2x + 8
y = 2x – 3
Lines are parallel if they have the same slope. The lines are all given in the form y = mx + b. In this form, m represents the slope, thus, we are looking for another line with a slope of 2. This is y = 2x – 3.
Note that the line given by y = (–1/2)x + 6 has a slope that is the negative reciprocal of 2. This line will be perpendicular to our given line.
Example Question #42 : Parallel Lines
True or False.
The following two lines are parallel.
True
False
True
When both equations are solved for the form 
Example Question #3 : How To Find Out If Lines Are Parallel
Which of the following lines are parallel to 
Parallel lines must have identical slopes. The given equation is in the 
Example Question #1 : How To Find Out If Lines Are Parallel
Which of these lines is parallel to 
Parallel lines have the same slope. Since all of these equations are in the 
The only other line with a slope of 2 is 
Example Question #5 : How To Find Out If Lines Are Parallel
Which of these lines is parallel to 
Parallel lines must have equal slopes to one another. Since all of the lines are in the 
Example Question #6 : How To Find Out If Lines Are Parallel
Which of these pairs of lines are parallel?
none of the other answers
Parallel lines have the same slope as one another. The only pair of lines with the same slope is 
Example Question #7 : How To Find Out If Lines Are Parallel
Which of these lines is parallel to 
Parallel lines have identical slopes with one another. The given line has a slope of 9, so its parallel line must also have a slope of 9. The only other line with a slope of 9 is 
Example Question #1 : How To Find Out If Lines Are Parallel
Which of these lines is parallel to
None of the other answers
Parallel lines have identical slopes. Since all of these lines are in the 
Example Question #9 : How To Find Out If Lines Are Parallel
Which of these lines is parallel to 
Parallel lines have identical slopes, so you must figure out which of these lines have the same slope as the given line. To determine the slope of the given line, you can rearrange it to resemble the 
Example Question #1 : How To Find Out If Lines Are Parallel
Two lines are parallel to each other. One of the lines has an equation of 
Parallel lines have identical slopes to one another. The slope of the given line is 7, so the slope of the other line must also be 7. The only other equation with a slope of 7 is 
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