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

Algebra ->  Functions -> 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      Log On


   

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) About Me  (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:
+system%28+%0D%0A++++2%5Cm+%2B+1%5Cb+=+-3%2C%0D%0A++++-2%5Cm+%2B+1%5Cb+=+5+%29%0D%0A++We'll use substitution. After moving 1*b to the right, we get:
2%2Am+=+-3+-+1%2Ab, or m+=+-3%2F2+-+1%2Ab%2F2. Substitute that
into another equation:
-2%2A%28-3%2F2+-+1%2Ab%2F2%29+%2B+1%5Cb+=+5 and simplify: So, we know that b=1. Since m+=+-3%2F2+-+1%2Ab%2F2, m=-2.

Answer: system%28+m=-2%2C+b=1+%29.