Equation that fits best in data is
.Although there are no options , kindly match this equation to options available!
<u>Step-by-step explanation:</u>
We are given a graph with y & x-axis , with 4 points given and best fit for data can be found out by joining points . On joining points , we see that best fit is a line . General equation of a line is :
,
where m = slope of line & c = intercept.
Let's calculate slope m :
Consider any two given points , let's have ( 4,0) & (3,30) :
Slope = m
⇒ m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
⇒ m = ![\frac{0-30}{4-3}](https://tex.z-dn.net/?f=%5Cfrac%7B0-30%7D%7B4-3%7D)
⇒ m = ![-30](https://tex.z-dn.net/?f=-30)
So , equation now becomes :
⇒ ![y = -30x + c](https://tex.z-dn.net/?f=y%20%3D%20-30x%20%2B%20c)
at x = 0 we have y = 4
![y = -30x + c](https://tex.z-dn.net/?f=y%20%3D%20-30x%20%2B%20c)
![4 = -30(0) + c](https://tex.z-dn.net/?f=4%20%3D%20-30%280%29%20%2B%20c)
![c = 4](https://tex.z-dn.net/?f=c%20%3D%204)
Therefore, equation that fits best in data is
.Although there are no options , kindly match this equation to options available!