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Given the point (2,3) and the function f(x) = (-m+1)x + 3, find what is m if the point...

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pavelpimen | Student, Undergraduate | Honors

Posted June 18, 2011 at 2:53 PM via web

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Given the point (2,3) and the function f(x) = (-m+1)x + 3, find what is m if the point lies to the graph of the function.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 18, 2011 at 3:33 PM (Answer #1)

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We are given that (2,3) lies on the graph of the function f(x) = (-m+1)x + 3.

y = (-m+1)x + 3.

To determine m, substitute x and y from the point (2, 3)

3 = (-m+1)*2 + 3

=> 3 = -2m + 2 + 3

=> -2m + 2 = 0

=> 2m = 2

=> m = 1

The required value of m = 1

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giorgiana1976 | College Teacher | Valedictorian

Posted June 18, 2011 at 2:59 PM (Answer #2)

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Since the point (2,3) is located on the graph of f(x), therefore, it must verify the given expression of f(x).

f(2) = 3

We'll replace x by 2 in the expresison of function:

f(2)=(-m+1)*2 + 3

Replacing x by 2, the function take the value of 3.

(-m+1)*2 + 3 = 3

We'll subtract 3 both sides;

(-m+1)*2 = 0

We'll divide by 2:

(-m+1) = 0

We'll isolate m to the left side:

-m = -1

m = 1

Therefore, for the point (2,3) to be located on the graph of f(x), m takes the value of 1.

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