In 1992 the average family income was about 36000, and in 2012 it was about 85432. Let x = 0 represent 1992, x = 1 represent 1993, and so on. Find values for a and b (rounded to one decimal place if necessary) so that f ( x ) = a x + b models the data a =

b =

What was the average family income in 2007?

$

215.92 dollars is the answer

what is the answer to this

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b