Question

Distance between the lines 3x +4y =9 and 6x + 8y =15 is

Answer 1

• 0.3 units

Explanation:

Given lines in standard form:

• ax + by = c

• 3x +4y =9 and
• 6x + 8y =15

We can see they have same slopes:

• m = -3/4 and
• m = -6/8 = -3/4

The lines after simplification of the second one:

• 3x + 4y = 9
• 3x + 4y = 7.5

Since the lines are parallel, use the distance formula:

• 
  `d= |c_1-c_2|/√(a^2+b^2)`

Substitute the values and find d:

• 
  `d = |9-7.5|/√(3^2+4^2) = |1.5|/√(25) =1.5/5=0.3`