Question

How do you write an equation in standard form for a line passing through (2, 2) and (6, 3)?

Answer 1

`y=x/4 +3/2`

Explanation:

You use the rule of the function passing through two points `(x_1,y_1) (x_2,y_2)`:

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

`(y-2)/(3-2)=(x-2)/(6-2)=>y-2=x/4 - 1/2 => y=x/4 +3/2`