Input Data :
Coordinates 1 (x1, y1) = (2, 3)
Equation Ax+by+c = 8x + 7y + 5
Find what is the length of perpendicular distance?
Perpendicular Distance = (Ax1 + By1 + C)√(A2 + B2)
Perpendicular Distance = 8(2) + 7(3) + 5√((8)2 + (7)2)
= 16 + 21 + 5√(64 + 49)
Perpendicular Distance = 3.951
perpendicular distance calculator - step by step calculation, formula & solved example to calculate the distance from a point or coordinates (x1, y1) to line Ax + By + C = 0 in a two dimensional space or XY plane. x1, y1 is the point and the Ax + By + C = 0 is the line in the two dimensional space or XY plane.
The below formula is used to find the perpendicular length from a point to a line.
This below solved example let users to understand how the example values are being used in this calculation to determine perpendicular length from a point to line.
Find the perpendicular distance from the point (5, 6) to a line 7x + 9y + 12 = 0.
Let's consider x1 = 5 & y1 = 6
Apply the values in the formula
= ((7 x 5) + (9 x 6) + 12) / √(72 + 92)
Perpendicular Length = 8.8583
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