Answer:
Option A is correct.
is the equation represent the point slope form gives the plant's height at any time.
Step-by-step explanation:
Point slope intercept form: For any two points
and
then,
the general form
for linear equations; where m is the slope given by:
![m =\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Consider any two points from the table;
let A= (2 , 16) and B =(4, 32)
First calculate the slope of the line AB:
= 8
Therefore, slope of the line m = 8
Then,
the equation of line is:
Substitute the value of m=8 and (2, 16) above we get;
![y-16=8(x-2)](https://tex.z-dn.net/?f=y-16%3D8%28x-2%29)
Therefore, the equation in point slope form which gives the plant's height at any time is;
, where x is the time(months) and y is the plant height (cm)