Answer:
Step-by-step explanation:
Data : (-2,-9), (0,-3), (1,0), (3,6), (5,12)
Using technology , Plot the points on the calculator .
(Refer the attached figure)
Or
First calculate the slope of given points
---A
![(x_1,y_1)=(-2,-9)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-2%2C-9%29)
![(x_2,y_2)=(0,-3)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%280%2C-3%29)
Substitute values in A
![(x_1,y_1)=(1,0)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C0%29)
![(x_2,y_2)=(3,6)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%283%2C6%29)
Substitute values in A
Since the slopes are same .
So, the the given data is a linear function.
Now to obtain the equation for data we will use two point slope form.
---B
![(x_1,y_1)=(-2,-9)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-2%2C-9%29)
![(x_2,y_2)=(0,-3)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%280%2C-3%29)
Substitute values in B
So,
Thus Option B is true .
Hence the required equation is