SOLUTION: Please help me with this problem: Find the equation of f if f is a linear function whose graph has a slope of 2 and if f(1) = 2

Algebra ->  Functions -> SOLUTION: Please help me with this problem: Find the equation of f if f is a linear function whose graph has a slope of 2 and if f(1) = 2      Log On


   

Question 993646: Please help me with this problem:
Find the equation of f if f is a linear function whose graph has a slope of 2 and if f(1) = 2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the linear equation of f%28x%29=ax+%2Bb where a is a slope and b is y-intercept
if a slope is a=2 and if f%281%29+=+2 (which means if x=1 then y=2,so it gives you one point that lie on a line and has coordinates (1,2)), then we have
2=2%2A1+%2Bb...find b
2=2+%2Bb
2-2=b
b=0...so, y-intercept is at origin
now, we have a slope a=2 and y-intercept 0 and your equation is:
f%28x%29=2x+%2B0
f%28x%29=2x+