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 ->  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

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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) = 0This 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: Error: 'Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. '. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115.
error_location: 101