179k views
4 votes
Which is true for all pairs of values in this table? X1,2,3,4 y 0,-2,-4,-6

User Ada Xu
by
8.1k points

1 Answer

5 votes
Given data:

X Y
1 0
2 - 2
3 - 4
4 - 6

From the above table,
We have to see what sort of function is it showing.
Therefore,
Taking the first difference of the y-values.
We get,
-2 , -2 , -2

The first difference is constant for all the y-values, that is -2. Therefore it is a linear function,
So,
using the general form,
y = mx + b
where m represent the slope and b represents the y-intercept.

Now,
We will use two coordinate points to find out the slope,

Let them be: (1,0) and (2,-2)
So,
m = 2 / -1
m = -2

Now the y-intercept,

As we know that,
y = -2x + b

Take any point from the table, let it be (1,0)

substituting it into the equation, we get;
0 = -2(1) + b
b = 2

Hence our equation is:
y = - 2x + 2
User Achayan
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories