Which best describes the relationship between the lines: 2x-y =5 3x -y =5 parallel, perpendicular neither, same line

neither

Step-by-step explanation:

Step 1 :

Given   2x-y = 5

           => y=2x-5   => slope of this line m1 is 2  

 ( If  a line has an equation of the form y=mx+c, then m is the slope)

Similarly for the 2nd line,

       3x-y = 5 => y = 3x-5  => slope m2 = 3

Step 2:

   If the product of  slopes of 2 lines equals -1 then the 2 lines are perpendicular

Here , the product of the 2 slopes m1*m2 = 2*3 = 6

Hence the 2 lines are not perpendicular.

Step 3 :

If the slopes of 2 lines are equal then they are said to be parallel

Since the slopes of the 2 given lines are not equal, the 2 lines are not parallel

Step 4 :

2 lines are said to be same if they have the same equation or if one  equation is n times the other.

The equation of the 2 given lines are not same or they do not have a common multiple, hence the 2 lines are not same lines.

$6.42

step-by-step explanation: