Use a linear approximation to estimate the number (8.07)^2/3.

≈ 4.0233...

Step-by-step explanation:

First we identify the function:

then we take the firts derivative:

Then we take a starting point a=8, so the function has the value:

and the first derivative has the value:

Then consider the folowing relation:

f(x) ≈ f(a) + f'(a) (Δx); where Δx = x-a = 8.07-8 = 0.07

 Finally we replace the values and find:

≈ 4 +( * 0.07)

≈ 4.0233...

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4