Using this formula D = | 3 * 3 + ( -4 )( -5 ) -26 | / ( 3 2 + ( -4 ) 2 ) ½ Or D = 3 / 5
Distance between two parallel lines
Distance between two parallel lines y = mx + c1 & y = mx + c2 is given by D = | c1 – c2 | / ( 1 + m 2 ) 1 / 2
If lines are given in general form , i . e ., Ax + By + C1 = 0 and Ax + By + C2 = 0 , then D = | c1 – c2 | / ( A 2 + B 2 ) 1 / 2
Numerical : Find the distance between the parallel lines 3x – 4y + 7 = 0 and 3x – 4y + 5 = 0
Solution : Distance between two parallel line is given by D = | c1 – c2 | / ( A 2 + B 2 ) 1 / 2
Here c1 = 7 & c2 = 5 & A = 3 & B = -4 D = | 7 – 5 | / ( 3 2 + 4 2 ) 1 / 2 D = 2 / 5