Coordinate Geometry: Checking Parallelism
Read this topicExplanations 5
- If you are given two lines, they are parallel if and only if their slopes are the same. If you are given some coordinates, you can use them to find the slopes and check to see i…
By Ahaan Rungta
- Parallel Lines in Coordinate Geometry Parallel lines Parallel lines have the same slope. Example 1: y=5x−7y = 5x - 7y=5x−7 y=5x+13y = 5x + 13y=5x+13 Both of the above equations …
By Robert Garber
- In a Euclidean Plane (or in anything that's in 2D, like most graphs), two lines are parallel if and only if the lines never intersect. In order to guarantee they'll never inters…
By Hyunwoo (David) Lee, Benjamin Qi, Zora Gilbert
- "Parallel" in Two-Dimensional Euclidean Geometry In Euclidean geometry, any two lines which do not intersect in the two-dimensional euclidean plane (a plane is a flat surface in…
By Thomas Ik-Hyun Kim, Alex Federspiel, Liza Sulkin
- Consider the lines: y=2x+3y = 2x + 3y=2x+3 2y−4x=82y - 4x = 82y−4x=8 Consider the lines: y=2x+3y = 2x + 3y=2x+3 y=xy = xy=x Consider the lines: y=3pxy = 3pxy=3px where ppp is a …
By Konstantinos Manos
Problems 3
- One line is defined by the points (1,3)(1, 3)(1,3) and (3,4)(3, 4)(3,4). Another line is defined by (−3,−1)(-3, -1)(−3,−1) and (−4,1)(-4, 1)(−4,1). Are the lines parallel?
- Which of these lines is parallel to y=3x−7y = 3x - 7y=3x−7?
- Which of these lines is parallel to y=32x+8y = \frac{3}{2}x + 8y=23x+8?