How can I write a linear function based off of f(0)= 4 and f(3)=-8?

Question

This is the exact problem:

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

A function is f(x)=

Answer 1

You have enough information to come up with the linear equation. Based on these 2 equations, you have 2 points on the line: (0,4) and (3,-8) Using these 2 points, you can find the slope using the equation m=(y2-y1)/(x2-x1) Once you have the slope, you can use this to find the equation of the line: y − y₁ = m(x − x₁) by plugging in m and one of the points provided.

m=(4-(-8))/(1-3) = 12/-3 = -4

y-4 = -4(x-0) Simplify

y-4=-4x Add 4 to both sides

y=-4x+4 can also be written as

f(x)=-4x+4