SOLUTION: Let f be a linear function. If f(−2) = −2 and f(4) = −20, find f(x). f(x)=

Question 1133367: Let f be a linear function. If
f(−2) = −2
and
f(4) = −20,
find
f(x).
f(x)=
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Points (x,y) are (-2, -2) and (4, -20).

Slope,

Take either point to setup an equation:

as function,
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

The linear function goes through (-2,-2) and (4,-20):
f(x) = mx + b

m = (-20-(-2))/(4-(-2)) = -18/6 = -3

f(x) = -3x + b

Using (-2,-2), solve for b:
-2 = -3(-2) + b
-8 = b

---
Ans:
---
Check: f(-2) = -3(-2)-8 = 6-8 = -2 (ok)
and f(4) = -3(4)-8 = -12-8 = -20 (ok)

RELATED QUESTIONS
Let f be a linear function. If f(−3) = 7and f(2) = −13,find... (answered by scott8148)
if y=f(x) is a linear function such that f(-2)=6 and f(1)=-3,find f(x) (answered by josgarithmetic)
Let f be a linear function for which f(−2) = −6 and f(4) = 18. Determine... (answered by Alan3354)
Let f be the function defined by f(x)=2x^2+5. Find f(a+h), f(-a), f(a^2), f(a-2h),... (answered by solver91311,josgarithmetic)
If a linear function f satisfies the conditions : f ( -3 ) = - 2 and f ( 3 ) = 16 , find... (answered by user_dude2008,ewatrrr)
let f be the function defined by f(x)=4x-3. Find f(4), f(1/4), f(0), f(a), and f(a+1) (answered by solver91311)
let f be the function defined by f(x)=4x-3. Find f(4), f(1/4), f(0), f(a), and... (answered by solver91311,mastergerwe)
Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder (answered by math_tutor2020)
Let f be a linear function such that f(2) = 17 and f(-1/3) = 3. What is... (answered by ewatrrr)