Algebra 1 : Equations of Lines
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #6 : 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 #7 : 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 
Example Question #51 : Parallel Lines
What is the relationship of the lines depicted by the following equations?
They are the same line
They are neither parallel nor perpendicular
They are perpendicular
They are parallel
They are parallel
The first equation is written in standard form: 
The second equation is written in slope-intercept form: 
Because the slopes of both lines are equal, the lines must be parallel.
Example Question #722 : Functions And Lines
Which of the following lines is parallel to the line given by the equation 
Parallel lines have the same slope. To find the slope of a given equation, it is necessary to convert it to slope-intercept form.
Subtract the 
Divide by 
Understanding slope-intercepts form, we can see that the slope is 
We can convert each answer choice to slope-intercept form to detrmine which has a slope matching the equation in the question.
This equation has the same slope, and is therefore parallel.
Example Question #61 : Parallel Lines
Which of the following lines is parallel to 
Two lines can only be parallel if they have identical slopes. In this case, the slope is 
so that is the correct answer. Take note that the 
Example Question #732 : Functions And Lines
Which answer choice represents a line that's parallel to the following linear equation?
none of these
We are given
and we compare it to the general formula of a straight line
where 
Example Question #481 : Equations Of Lines
Determine if the lines 
There is not enough information to determine the answer.
The lines are parallel.
The lines are not parallel.
The lines are not parallel.
Parallel lines need to have slopes that are equal. For the line 
Example Question #734 : Functions And Lines
Which of the following lines is parallel to 
For two lines to be parallel, they must have the same slope. So, we are looking for a line with a slope of 
Take the answer choice 
which can be simplified to
This is our answer! To be safe, the other choices can be rewritten in slope-intercept form as well, upon which it becomes clear that none of them are parallel.
Example Question #482 : Equations Of Lines
Which of these lines is parallel to
None of the other answers
Parallel lines have identical slopes. The slope of the given line is 8, so the slope of the parallel line must also be 8. The only other line with a slope of 8 is
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