Posted by **Krish** on Friday, December 27, 2013 at 4:11pm.

Suppose that y is a linear function of x, and that y = 6 when x = 2 and y = 7 when x = 3. What is y when x = 7?

- Math -
**Damon**, Friday, December 27, 2013 at 4:40pm
(2,6) and (3,7)

slope = (7-6)/(3-2) = 1

so if y = m x + b and m = 1 then

y = 1 x + b

now put in a point, any point

like

6 = 1 (2) + b

so

b = 4

and

y = x + 4 (indeed, we could have figured that out with a sketched graph.)

then if = 7 then y = 7 + 4 = 11

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