SOLUTION: Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2

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Question 441613: Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2
Found 3 solutions by stanbon, Edwin McCravy, robertb:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2
---
slope = (-2-12)/(3-0) = -14/3
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Form: y = mx + b
Substitute and solve for "b":
-2 = (-14/3)(3) + b
b = 12
----
Equation:
y = (-14/3)x + 12
=====================
Cheers,
Stan H.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Write an equation that satisfies the given conditions: f(0)=12,f(3)=-2

That's the same as this problem:

Write the equation of the line that passes through the points
(0,12) and (3,-2), then change the y to f(x).

Use the slope formula:



Then use the point-slope formula:









Now write f(x) for y:



-----------------------------

Checking:



Substitute 0 for x







That checks.

Substitute 3 for x









That checks, so we're right.

Edwin
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
You can also have , or , etc.
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