Problema Solution
For a particular linear function f(x)=mx+b, f(−2)=11and f(3)=−9. Find m and b.
Answer provided by our tutors
f(x)=mx+b
For x = - 2 we have
f(-2) = -2m + b
f(-2) = 11
so
-2m + b = 11
For x = 3 we have
f(3) = 3m + b
f(3) = -9
so
3m + b = -9
Now we have the following system of equations:
-2m + b = 11
3m + b = -9
........
click here to see the system of equations solved for m and b
........
m = -4
b = 3