The scatter plot shows the number of CDs in millions that were sold from 2011 to 2016. Use the points (2, 2485.6) and (6, 1172.5) to write an equation of the line of fit in slope-intercept form. Let x be the years since 2010 and let y be the number of CDs in millions sold.

Respuesta :

Answer:

slope -intercept form

y = -328.275 x + 3142.15

Step-by-step explanation:

Step(i):-

Given that the points are (2, 2485.6) and (6,1172.5)

The slope of the line

               [tex]m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

              [tex]m = \frac{1172.5-2485.6 }{6-2 }[/tex]

            [tex]m = - 328.275[/tex]

Step(ii):-

Equation of the straight line passing through the Point (2,2485.6)

[tex]y - y_{1} = m(x-x_{1} )[/tex]

y - 2485.6 = (-328.275)(x-2)

y - 2485.6 = -328.275x+656.55

  y =  -328.275x+656.55 + 2485.6

y = -328.275 x + 3142.15

Final answer:-

slope -intercept form

y = -328.275 x + 3142.15