Write a linear function g with the values g(2)=3 and g(6)=5. g(x)=?

Question

kinda stuck need help on this problem.

Answer 1

Two-point form of the equation of a line:

y – y₁ = m(x – x₁) where m = slope

y – y₁ = [ (y₂ – y₁)/(x₂ – x₁) ] (x – x₁)

and (2,3) and (6,5) are points on the line. Plugging in the values,

y – 3 = [ (5 – 3)/(6 – 2) ] (x – 2)

y - 3 = (1/2)(x-2)

g(x) = (1/2)x + 2

Check:

Does 3 = (1/2)(2) + 2 ?

3 = 3 ? yes

Does 5 = (1/2)(6) + 2 ?

5 = 3 + 2 ?

5 = 5 ? yes

Answer 2

Actually you are given two points

A ( 2, 3) and B ( 6,5 )

The answer is the equation of the line AB solved for y