Question 763306: Suppose f(x) is a linear function with slope 2 and f(1) = 3. Find f(2).
Answer by ramkikk66(644)   (Show Source):
You can put this solution on YOUR website! Slope of the line is 2.
Since f(1) = 3, (1,3) is a point on the line.
The equation for a line with slope m and which has a point (x1,y1) is
(y - y1) = m(x - x1)
Substituting for m, x1 and y1
(y - 3) = 2(x - 1)
y - 3 = 2x - 2 or y = 2x + 1
f(x) = 2x + 1
So f(2) = 2*2 + 1 = 5
:)
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