The following table shows the values of y for different values of x:
x y
0 -5
1 0
2 5
which statement best explains whether the table represents a linear function or a nonlinear function?
it represents a linear function because it's points are on a straight line
it represents a linear function because it's points are not on a straight line
it represents a nonlinear function because its points are on a straight line
it represents a nonlinear function because it's points are not on as straight line.

Option 1 - It represents a linear function because it's points are on a straight line

Step-by-step explanation:

Given : The following table shows the values of y for different values of x :

x      y

0    -5

1      0  

2     5    

To find : Which statement best explains whether the table represents a linear function or a nonlinear function?

Solution :  

For a linear equation the slopes of the line between any two pairs of these is the same.      

For a non-linear equation the slopes of the line between any two pairs of these is different.        

First we find the slope,

Slope is

Points are (0,-5) and (1,0)  substitute in m.

Points are (1,0) and (2,5)  substitute in m.

Points are (2,5) and (0,-5)   substitute in m.

The slopes are same, so it is a linear function.

The points are also in a straight line as shown in figure attached below.

Therefore, Option 1 is correct.

It represents a linear function because it's points are on a straight line    

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: