MathsCoincident Lines – Explanation, Equation, Formula, and FAQs

Coincident Lines – Explanation, Equation, Formula, and FAQs

Introduction to Coincident Lines

Coincident lines are two lines in a plane that intersect at a single point. This point is called the point of intersection. The lines are said to be coincident because they intersect at the same point. Coincident Lines – Explanation.

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    Coincident Lines - Explanation, Equation, Formula, and FAQs

    Coincident Lines Definition

    In geometry, two lines are said to be coincident if they coincide, meaning that they have the same starting point and the same endpoint.

    Coincident Lines Equation

    A line is defined as a set of points in a coordinate plane that are all the same distance from a given point, called the origin. Two lines are said to be coincident if they intersect at a single point. The equation of a line can be written in slope-intercept form, where m is the slope and b is the y-intercept. Equation of a line can also be written in point-slope form, where (h, k) is a point on the line and slope is the slope of the line at that point.

    The equation of a line can also be written in general form, where a, b, and c are constants. However, the most common forms are slope-intercept form and point-slope form. To find the equation of a line given two points, you can use the slope formula, which is m = (y2-y1)/(x2-x1). You can also use the point-slope form of the equation of a line, which is y-y1 = m(x-x1).

    Equation of Parallel Lines:

    The equation of parallel lines is y = mx + b, where m is the slope and b is the y-intercept.

    Equation of Coincident Lines:

    The equation of two coincident lines is y = mx + b.

    What is the difference between parallel and coincident lines?

    Parallel lines are two lines that never intersect. Coincident lines are two lines that intersect at a single point.

    Coincident Lines – Explanation.

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