The point A(3,m) lies on the graph of f(x)=x+2. What is the value of m?

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tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

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The point A(3,m) lies on the graph of f(x)=x+2.

The graph of f(x) = x + 2 is given by y = x + 2.

As A(3, m) lies on the graph of f(x) = x + 2 the coordinates of the point A should satisfy the equation y = x + 2

m = 3 + 2

m = 5

The required value of m is 5

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

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If a point lies on the graph of a function, then it's coordinates must verify the expression of the function.

According to all of these, we'll replace x and y by the coordinates of the point A.

f(x) = x + 2 <=> y = x + 2

A(3 , m) belongs to the graph of f(x) <=> yA = xA + 2

m = 3 + 2

=> m = 5

The coordinates of the point A, that is located on the graph of the linear function f(x) = x + 2, are: A(3 , 5).

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