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- Two lines are perpendicular when they meet at a right angle (90°).
www.mathsisfun.com/algebra/line-parallel-perpendicular.html
a vertical line is parallel to another vertical line. a vertical line is perpendicular to a horizontal line (and vice versa). Summary. parallel lines: same slope; perpendicular lines: negative reciprocal slope (−1/m)
- Slope
- −0.5
Parallel lines are those that never intersect and are always the same distance apart. Perpendicular lines are those that always intersect each other at right angles. Perpendicular lines are denoted by the symbol ⊥. The symbol || is used to represent parallel lines.
As with parallel lines, we can determine whether two lines are perpendicular by comparing their slopes. The slope of each line below is the negative reciprocal of the other so the lines are perpendicular.
Likewise, parallel lines become perpendicular when one line is rotated 90°. Parallel Curves. Curves can also be parallel when they keep the same distance apart (called "equidistant"), like railroad tracks. The red curve is parallel to the blue curve in both these cases:
Perpendicular Lines. Two lines are perpendicular when they are at right angles to each other. The red line is perpendicular to the blue line: Here also: Learn more at perpendicular lines. Perpendicular to a Plane. A line is perpendicular to a plane when it extends directly away from it, like a pencil standing up on a table.
Table of Contents. Parallel and Perpendicular Lines. Slopes of Parallel and Perpendicular Lines. Parallel and Perpendicular Lines – Examples. Writing Equations of Parallel and Perpendicular Lines. Equation of a Line Perpendicular to a Given Line. Horizontal and Vertical Lines. Parallel Lines or the Same Line.
A pair of lines is perpendicular if the lines meet at \(90^\circ\) angle. Given two non-vertical lines in slope-intercept form \[ \begin{align} y &= m_1 x + b_1\\ y &= m_2 x + b_2, \end{align} \] the two lines are perpendicular if \(m_1 = - \frac{1}{m_2}\), that is, if the slopes are negative reciprocals of each other:
