SOLUTION: how do you find the slope of the graph of the liner function f? f(2) = -3, f(-2) = 5 how do you find the slope of the graph of the liner function f? f(0) = 4, f(4) = 0

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Question 107266This question is from textbook
: how do you find the slope of the graph of the liner function f?
f(2) = -3, f(-2) = 5
how do you find the slope of the graph of the liner function f?
f(0) = 4, f(4) = 0
This question is from textbook

Answer by Annabelle1(69)   (Show Source): You can put this solution on YOUR website!
a linear graph has the form y=mx+b
f(2)=-3 means that when x=2, y=-3
so wehave -3=2m+b
f(-2)=5 means that when x=-2, y=5
so we have 5=-2m+b
we solve these simulateously
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*b to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that b=1. Since , m=-2.

Answer: .


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