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

scatter plot with points going up from about zero comma negative 3 to the right to about 7 comma zero

y equals three sevenths times x minus 3
y equals negative three sevenths times x minus 3
y equals seven thirds times x minus 3
y equals three sevenths times x plus 3

y equals three sevenths times x plus 3

Step-by-step explanation:

Given the information:

<=> Let A (x1, y1) =  (0, -3)

<=> 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:

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

m =

In this situation, we have:

m = =  

=> y =  x + b.

Because the line goes through A (0, 3)

=> 3 =  *0 + b

<=> b =3

=> y =  x +  3

So we choose y equals three sevenths times x plus 3

3+x

step-by-step explanation: