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

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

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-1+5}{-1+3}$

$m=2$

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

$m=\frac{1+1}{0+1}$

$m=2$

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

$m=\frac{3-1}{1-0}$

$m=2$

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

$m=\frac{7-3}{3-1}$

$m=2$

we can see that

slope is 2 for all points

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

Answer 2

Answer:

linear

Step-by-step explanation: