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Learn how to find parallel and perpendicular lines using algebra and geometry. See examples, formulas, and tips for identifying slopes and y-intercepts of different lines.
Parallel and perpendicular lines are two important concepts in geometry. Parallel lines are the lines that never intersect each other. Thus, two parallel lines always maintain a constant distance between them. Perpendicular lines are the two lines that intersect each other at a right angle.
Perpendicular lines are lines in the same plane that intersect at right angles (\(90\) degrees). Two nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are perpendicular if the product of their slopes is \(−1: m1⋅m2=−1\).
Two lines are termed as parallel if they lie in the same plane, are the same distance apart, and never meet each other. Perpendicular lines are intersecting lines that always meet at an angle of 90°. Let us learn more about parallel and perpendicular lines in this article.
Learn the definitions and examples of perpendicular and parallel lines, curves and surfaces. Find out how to rotate one line 90° to get the other type of line.
Learn how to construct a line, parallel or perpendicular, to a given reference line and a fixed point, and in the process learn how to utilize the Point-Slope Form and Slope-Intercept Form of a Line.
24 sie 2022 · Parallel lines have the same slope; Perpendicular lines have negative reciprocal slopes; How to find an equation of a line parallel to a given line. Find the slope of the given line. Find the slope of the parallel line. Identify the point. Substitute the values into the point-slope form: \(y−y_1=m(x−x_1)\). Write the equation in slope ...
