What makes a pair of lines parallel

To find the negative reciprocal, first find the reciprocal and then change the sign. As with parallel lines, we can determine whether two lines are perpendicular by comparing their slopes, assuming that the lines are neither horizontal nor perpendicular. The slope of each line below is the negative reciprocal of the other so the lines are perpendicular.

Two lines are parallel lines if they do not intersect. The slopes of the lines are the same. Coincident lines are the same line.

Two lines are perpendicular lines if they intersect at right angles. Given the functions below, identify the functions whose graphs are a pair of parallel lines and a pair of perpendicular lines. Parallel lines have the same slope. Perpendicular lines have negative reciprocal slopes. Figure Skip to main content. Lets consider a cube. Difference between parallel lines and skew lines.

Parallel lines are two coplanar lines that never intersect. Skew lines are lines that are not coplanar and can never intersect. Try the free Mathway calculator and problem solver below to practice various math topics.

Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. In these lessons, we will learn how pairs of lines can relate to each other in four different ways: intersecting lines , parallel lines , perpendicular lines , skew lines These concepts are useful for understanding and solving various geometry problems.

Because the given line has the slope of , the line parallel to it must also have the same slope. Which of the following lines is parallel to? The line presented in the question is. The slope of the presented equation is. Therefore, the answer is:.

Remember that when a line is stated as , its slope-intercept conversion has a slope of. Also bear in mind that we are looking for a parallel line, which means we need to find another line where.

If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Hanley Rd, Suite St. Louis, MO Subject optional. Email address: Your name:. Report an Error. If angle x is three bigger than twice the square of four of angle y, then what is angle y? Possible Answers: 7. Correct answer: 7. Explanation : The answer is 7.

Possible Answers: They represent parallel lines. They represent non-perpendicular, intersecting lines. Correct answer: They represent the same lines. Explanation : The trick to questions like this is to get both equations into the slope-intercept form. Possible Answers:. Correct answer:. Explanation : Lines are parallel if they have the same slope. So we are looking for a line with a slope of 2.

We'll go through the answer choices. Explanation : In order for two lines to intersect exactly once, they can't be parallel; thus, their slopes cannot be equal. Explanation : In order for two lines to intersect, they cannot be parallel. Which pair of linear equations represent parallel lines? Explanation : Parallel lines will always have equal slopes. The slope can be found quickly by observing the equation in slope-intercept form and seeing which number falls in the " " spot in the linear equation , We are looking for an answer choice in which both equations have the same value.

Explanation : Lines are parallel when their slopes are the same. First, we need to place the given equation in the slope-intercept form. Explanation : The line presented in the question is.

Explanation : Remember that when a line is stated as , its slope-intercept conversion has a slope of.