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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

Respuesta :

thaovtp1407

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 = [tex]\frac{y2-y1}{x2-x1}[/tex]

In this situation, we have:

m = [tex]\frac{0-(-3)}{7-0}[/tex] = [tex]\frac{3}{7}[/tex]  

=> y = [tex]\frac{-3}{7}[/tex]  x + b.

Because the line goes through A (0, 3)

=> 3 = [tex]\frac{3}{7}[/tex]  *0 + b

<=> b =3

=> y = [tex]\frac{3}{7}[/tex]  x +  3

So we choose y equals three sevenths times x plus 3

teacup113

Answer:

A) y equals three sevenths times x minus 3

God has a plan for everyone!!

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