SOLUTION: write an equation that represents the data in the table. x|0|-2|-4|-6|-8 y|-4|-10|-16|-22|-28

Question 30872: write an equation that represents the data in the table.
x|0|-2|-4|-6|-8
y|-4|-10|-16|-22|-28
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
there are 5 terms here, numbered 1,2,3,4 and 5.

Look at the difference between the x-terms... a difference of 2, well -2 to be exact.

And look at the difference between the y-values: 6... well -6 to be exact.

This is a "three-times table" since as one variable changes, the other changes by 3 times that. So we have y=3x.

Now, y=3x is THE 3-times table ie 3,6,9,12,15,18, etc. We have another 3-times table, "shifted" from this. To find the shift, we need to just pick one value of x, so pick an easy one. Namely x=0.

when x=0, y=3x becomes y=0 too. We need y to be -4, so we need to subtract 4 from 0 to get the -4.

So, the equation is y=3x-4

Now check with a value away from the x=0 value we picked. So, lets pick x=-8.

When x=-8, y=3x-4 becomes
y = 3(-8) -4
y = -24-4
y = -28 which is the correct value.

So, y=3x-4 is the correct equation of this set of coordinates.

jon.

RELATED QUESTIONS
write an equation that represents the data in the table. x|-2|0|2|4|6... (answered by longjonsilver)

complete the table. write an equation to show the relationship. input x 0 1 2 3 4 5... (answered by TimothyLamb)

Please help me out with this questions. I appreciate thanks. Based on the data shown... (answered by ewatrrr)

Write an equation to describe the relation shown in the table. x -2 -1 0 1 4... (answered by Alan3354)

WRITE A FUNTION RULE FOR THE DATA IN THE TABLE. INPUT X-0 1 2 3 4 OUTPUT Y-0 4 8 12 (answered by stanbon)

Does the data in the table represent a direct variation or an inverse variation? Write an (answered by Boreal,josgarithmetic)

Linear? If true,what is the next ordered pair? 1.) X Y 8... (answered by checkley71)

which of the following represents a linear function x=2 5 8 y=10 16 22 x=1 3 5 y=1 (answered by Alan3354)

Assuming that the data in the following table follows a linear pattern, complete the... (answered by josgarithmetic)