input - x
output - f(x)
1) x = 6, f(x) = 13
2) x = 12, f(x) = 14
f(x) = ax + b
Solve this to know what f(x) is:
{13 = 6a + b
{14 = 12a + b
{b = 13 - 6a
{14 = 12a + 13 - 6a
{b = 13 - 6a
{1 = 6a
{a = 1/6
{b = 13 - 6 ยท 1/6
{a = 1/6
{b = 13 - 1
{a = 1/6
{b = 12
So our f(x) is:
f(x) = x/6 + 12