Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is: 
Step-by-step explanation:
We need to find if y varies directly with x from the values given in the table.
If y varies directly with x then we have the equation:

where k is constant of proportionality
or we can write

If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.
if x = -20 and y=45 then k is:

So, value of k is -2.25
if x = 1 and y=-2.25 then k is:

So, value of k is -2.25
if x = 12 and y=-27 then k is:

So, value of k is -2.25
Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is: 
Keywords: Direct Relationship
Learn more about Direct Relationship at:
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Known that,
x = z
Also known that,
x + y = 10
Substituting value of x,
z + y = 10
Hence, proved.
The domain and range of
the function f(t)=sec[((pi)t)/4] are the following:
<span>Domain: All the real
numbers except t = 2 + 4k, where k is an integer. </span>
Range: (-∞, -1] U
[1, ∞)
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5
If the lines are parallel, the have to have the same slope
so if the red line has a slope of 2/5, the green line will have a slope of 2/5
Answer: 2/5
Choice B