Question

what do the following two equations represent?

• ( x + 3y = 5 )
• ( 4x + 12y = 20 )

choose 1 answer:
a the same line
b distinct parallel lines
c perpendicular lines
d intersecting, but not perpendicular lines

Explanation:

Step1: Simplify the second equation

Divide the second equation \(4x + 12y = 20\) by 4. We get \(x + 3y = 5\), which is the same as the first equation \(x + 3y = 5\).

Step2: Analyze the relationship

Since both equations simplify to the same linear equation, they represent the same line.

Answer:

A. The same line