Help this will save my grade. I’m right on the edge of failing!

Step-by-step explanation:

1.  The slope is -5/2

2. There is no slope for the second one it's just y=3

3. The slope is 3

4. These are perpendicular lines

5. These lines are parallel.

6. These lines are neither perpendicular nor parallel.

7. These lines are perpendicular

8.  y = 4/3x - 2

9.  y = -1/2x + 5

10. x = -1  

Hope this helps!

Option (B) is correct.

The system of equations has no solution.

Step-by-step explanation:

Consider a system of linear equation in two variables,

 (1)

and   (2)

Multiply equation (1) by 2, we get,

 (1) ⇒    (3)

Now, subtract (2) from (3), we get

Here, both variables x and y got cancel out and we are left with 0 = 7 which is not true. thus, the system has no solution.

Also, when we plot these system we get parallel lines which has no solution.( refer attachment)

Thus, when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement ,then the given system of equations has no solution.