Question

Which equation represents the line of BEST fit for the data?

Answer 1

Equation that fits best in data is $y = -30x + 4$ .Although there are no options , kindly match this equation to options available!

Step-by-step explanation:

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 : $y = mx + c$ ,

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

⇒ m = $\frac{0-30}{4-3}$

⇒ m = $-30$

So , equation now becomes : $y = mx + c$

⇒ $y = -30x + c$

at x = 0 we have y = 4

$y = -30x + c$

$4 = -30(0) + c$

$c = 4$

Therefore, equation that fits best in data is $y = -30x + 4$ .Although there are no options , kindly match this equation to options available!