SOLUTION: Find the equation of the given linear function. f(x) = x −15 0 15 20 f(x) −2 −5 −8 −9 for your better understanding the numbers were in a table and it was nu

Algebra.Com
Question 1164175: Find the equation of the given linear function.
f(x) =
x
−15 0 15 20
f(x)
−2 −5 −8 −9
for your better understanding the numbers were in a table and it was numbers of x then the numbers of f(x)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the equation of the given linear function.
f(x) =
x
−15 0 15 20
f(x) = y
−2 −5 −8 −9
--------------------------
Assuming it is linear, pick any 2 of the points.
eg, (0,-5) and 15,-8)
Find the slope m:
m = diffy/diffx = -3/15 = -1/5
----
Use y-y1 = m*(x-x1) where (x1,y1) is any of the given points.
=======================
I would check all the points to see if they're on the line - satisfy the equation.

RELATED QUESTIONS

Linear & Quadratic Functions The zeros of a function f are the values of x for which... (answered by Fombitz)
Given the function f(x)=x^2-x+9, find each of the following. f(8) f(-7)... (answered by fractalier)
State the inverse of each relation. Is the inverse a function? 1. {(18, -3), (-13,... (answered by MathLover1)
Given the function f(x)=x^2-x+8, find each of the following. f(5)= f(-7)=... (answered by Miniml1,Alan3354)
Decide which of the two given functions is linear and find its equation. x 0 1 2 3 4... (answered by math_tutor2020)
If f is a linear function, f(0.1) = 9.3, and f(0.4) = −6.3, find an equation f(x)... (answered by CubeyThePenguin)
Given the function F described by f(x)=x+12, find each of the following. F(0)= F(-10)= (answered by MathLover1)
Given the following diagram for a continuous function. Answer true or false for the... (answered by solver91311)
Linear Function - Graph and evaluate the given formula: f(x){ x^2 + 1 ; x ≤ 0 { (answered by solver91311)