Write a linear function with the given values. f(0) = - 4 and f(3) = 8

Answer 1

(0,-4) and (3,8) are two points on a line, with slope = 8--4 over 3-0 = 12/3 = 4

use the point slope formula

y-h=m(x-k)

y+4 = 4(x-0)

y= f(x) = 4x-4

Or just notice that -4 is the y -intercept, as (0,-4) is on the y-axis

then use the slope intercept formula

y=mx+b where m=4 and b=-4

y=4x-4

where y is the function of x

f(x)= 4x-4