Rule of correspondence question.

[davie08]

Homework Statement

find a rule of correspondence for the linear function f whose graph contains the given points.

(3, -1) and (2, 3)

Homework Equations

The Attempt at a Solution

would you try to find the slope first and then after finding that I'm unsure of what to do.




the answer is f(x)= -4x + 11

 

[vela]

There are several ways of determining the equation of a line. The method you choose depends on what information you have. In this case, you're given two points, so you could find the slope. Now the easiest way to find the equation is to use the point-slope form.

$$y-y_0 = m(x-x_0)$$

Just choose one of the points to use as (x₀, y₀) and plug your slope in and simplify. You might want to try it with both points to see that it doesn't make a difference which one you choose.

 

[davie08]

thanks.