SOLUTION: Determine the linear function f knowing the slope is 6 and f(12)= 13 f(x)= Hello! Can you please show me how to do this bc I am having difficulty :) Thank you!

Algebra ->  Rational-functions -> SOLUTION: Determine the linear function f knowing the slope is 6 and f(12)= 13 f(x)= Hello! Can you please show me how to do this bc I am having difficulty :) Thank you!      Log On


   



Question 656285: Determine the linear function f knowing the slope is 6 and f(12)= 13
f(x)=
Hello! Can you please show me how to do this bc I am having difficulty :) Thank you!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The general form for a straight line is
+y+=+m%2Ax+%2B+b+ where
m = slope
+b+ = y-intercept
-------------------
given:
+m+=+6+
so far I have +y+=+6x+%2B+b+
and I am told
+y+=+f%28x%29+
+f%2812%29+=+13+
so,
+13+=+6x+%2B+b+
+13+=+6%2A12++%2B+b+
+13+=+72+%2B+b+
+b+=+-72+%2B+13+
+b+=+-59+
Now I have
+y+=+6x+-+59+ answer