Question

Is the function described by the points in this table linear or nonlinear?

X Y
-3 -5
-1 -1
0 1
1 3
3 7


1)nonlinear

2)linear

Answer 1

linear

Explanation:

Answer 2

Any function is linear when it's slope is same

so, we will find slope by two points and then we check whether they are same

points (-3, -5) and (-1,-1):

we can use slope formula

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-1+5)/(-1+3)`

`m=2`

Points (-1,-1) and (0,1):

`m=(1+1)/(0+1)`

`m=2`

points (0,1) and (1,3):

`m=(3-1)/(1-0)`

`m=2`

points (1,3) and (3,7):

`m=(7-3)/(3-1)`

`m=2`

we can see that

slope is 2 for all points

so, this is linear.........................Answer