Answer:
Step-by-step explanation:
Given lines in standard form:
- 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:
- [tex]d= |c_1-c_2|/\sqrt{a^2+b^2}[/tex]
Substitute the values and find d:
- [tex]d = |9-7.5|/\sqrt{3^2+4^2} = |1.5|/\sqrt{25} =1.5/5=0.3[/tex]
