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
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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
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Equation:
y = (-14/3)x + 12
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Cheers,
Stan H.
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:
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Checking:
Substitute 0 for x
That checks.
Substitute 3 for x
That checks, so we're right.
Edwin
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