Answer to Question #252727 in Civil and Environmental Engineering for ling

Question

1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.

2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.

Answer 1

1

Distance from point (2,3) to the line 3x+4y+9=0

$r= 27/5 ​$

$r=5.4$

2

The given lines are 

$4x−3y=12 =>4x−3y−12=0$

$4x−3y=−8 =>4x−3y+8=0$

The lines are parallel. The distance between the lines is;

$r=20/5$

$r=4$