Here, c1 is the constant of line l1 and c2 is the constant for line l2, and m represents the slope of the line. The formula for distance between two parallel lines having the slope-intercept form of equations of the two lines as y = mx + c1 and y = mx + c2 And it does not matter which perpendicular line we are choosing, as long as two points are on the line.īecause of this, we can now easily calculate the distance between two parallel lines and the distance between a point and a line. We have previously discussed that the shortest distance between the two parallel lines can be determined using the length of the perpendicular segment between the lines. Read More: X and Y Intercepts, Form, Graph and Formula The formula for the distance if the equations of the parallel lines are given in the ax +by +c1 = 0 and ax +by +c2 = 0, is as follows: Also, in this case, m represents the slope of the line. In the above formula, c1 is the constant of line l1 and c2 is the constant for line l2. The formula for the distance if we have the slope-intercept form of the two lines as y = mx + c1 and y = mx + c2 is: Read More: Different Forms of the Equation of Lineīelow given is the formula for distance between two parallel lines.
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