We have:
x |
1 |
2 |
3 |
4 |
5 |
y |
14 |
27 |
40 |
53 |
66 |
Equation of lines passing through two points (1,14) and (2,27) is
y -14 = \(\frac{27-14}{2-1}\)(x - 1)
\(\Rightarrow\) y - 14 = 13(x - 1)
\(\Rightarrow\) y - 14 = 13x - 13
\(\Rightarrow\) y = 13x + 1
\(\Rightarrow\) y - 13x - 1 = 0
or
13x - y + 1 = 0
y at x = 6 is y = 13 x 6 + 1 = 79
y = 79