SOLUTION: Hi, I needed to figure out the answer to one of my math problems, which was "to write a linear function f with the values f(−2)=3 and f(5)=7". Can you please help me figure out t
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-> SOLUTION: Hi, I needed to figure out the answer to one of my math problems, which was "to write a linear function f with the values f(−2)=3 and f(5)=7". Can you please help me figure out t
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Question 1157199: Hi, I needed to figure out the answer to one of my math problems, which was "to write a linear function f with the values f(−2)=3 and f(5)=7". Can you please help me figure out the answer to my problem? Answer by math_helper(2461) (Show Source):
Ok, linear means f(x) = kx + c where k and c are constants. Notice how x is raised only to the first power, that's what makes it linear.
f(-2) = 3 tells us k(-2) + c = 3
f(5) = 7 tells us k(5) + c = 7
Subtract the bottom equation from the top, -7k = -4 --> k=4/7
Plug in k=4/7 into one of the equations and solve for c:
-2(4/7) + c = 3
-8/7 + c = 3
c = 3 + 8/7 = 21/7 + 8/7 = 29/7
