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.

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.