Question

Determine the equation for the line of best fit to represent the data.

Answer 1

Answer:

y equals three sevenths times x plus 3

Step-by-step explanation:

Given the information:

• points going up from about zero comma negative 3

<=> Let A (x1, y1) =  (0, -3)

• to the right to about 7 comma zero

<=> Let B (x2, y2) = (7, 0)

As we know, the line of best fit is a linear equation that represent the data with the standard form:

y = mx + b where:

• m is the slope
• b is the the y-intercept when x = 0

For a line that goes trough the points (x1, y1) and (x2, y2), the slope is

m = $\frac{y2-y1}{x2-x1}$

In this situation, we have:

m = $\frac{0-(-3)}{7-0}$ = $\frac{3}{7}$  

=> y = $\frac{-3}{7}$  x + b.

Because the line goes through A (0, 3)

=> 3 = $\frac{3}{7}$  *0 + b

<=> b =3

=> y = $\frac{3}{7}$  x +  3

So we choose y equals three sevenths times x plus 3