3/12/2023 0 Comments Parallel lines definition![]() Parallel Lines and Transversalīefore we move to understand how a transversal affects a pair of parallel lines, let us the basic definition of a transversal.Ī transversal is defined as a line intersecting two or more given lines in a plane at different points. Thus the line of zero slope is parallel to the x-axis. This means that either the line is x-axis or it is parallel to the x-axis. Let θ be the angle of inclination of the given line with the positive direction of the x-axis in an anticlockwise sense. What can be said regarding a line is its slope is zero ? Let us now understand the slop using some examples. The angle of inclination of a line with the positive direction of the x-axis in an anticlockwise sense always lies between 0 0 and 180 0. Also, the slope of a line equally inclined with axes is 1 or -1 as it makes an angle of 45 o or 135 o with the x-axis. a line that is perpendicular to the x-axis makes an angle of 90 o with the x-axis, so its slope is tan $\frac$ = ∞. Since a line parallel to the x-axis makes an angle of 0 o with the x-axis, therefore, its slope is tan 0 0 = 0Ī line parallel to the y-axis, i.e. The slope of a line is generally denoted by m. The trigonometrical tangent of the angle that a line makes with the positive direction of the x-axis in an anticlockwise sense is called the slope or the gradient of a line. To find the gradient of a parallel line, let us first recall what we mean by the slope of a line. It should be noted that the slope of any two parallel lines is always the same. The steepness of the line is determined by the slope or the gradient of the lone which is represented by the value m. ![]() The Slope Intercept forms of a straight line is given by y = m x c, where ‘m’ is the slope and ‘c’ is the y-intercept. Equationįor obtaining the equation of parallel lines, let us recall what we mean by the slope intercept form of the equation of a line. For instance, below we have the lines l and m as intersecting lines as they are not parallel. It should be noted that if two lines are not parallel, they will intersect each other. Symbolically, two parallel lines l and m are written as l || m.
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