Respuesta :

Answer: y = x + -5

Step-by-step explanation: In the table shown in the image, x and y are related to each other. Every time you add -5 to x, you get the answer to what y equals. I'll show an example below.

Y = X + ?

-4 = 1 + -5  TRUE

-3 = 2 + -5  TRUE

-2 = 3 + -5  TRUE

Therefore, every time you add -5 to the x value, you will always end up with the answer that equals the y value.

The relation between x and y is [tex]y=x-5[/tex]

Linear equation :

Let us consider that on blank space variable b is present.

Given expression is,

                  [tex]y=x+b[/tex]

Since, It is given that the point [tex](1,-4)[/tex] satisfies the above relation.

Substitute point [tex](1,-4)[/tex] in above relation.

                  [tex]-4=1+b\\\\b=-1-4=-5[/tex]

Thus, the relation between x and y is [tex]y=x-5[/tex]

Learn more about the Linear equation here:

https://brainly.com/question/14323743

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