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.