Question

Write a rule for the linear function with the following description. The graph contains the points (-3,-2) and (3, 0).

Answer 1

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

Explanation:

1. find the slope that includes the points (-3,-2) and (3,0)

`(y2-y1)/(x2-x1) =m` ->slope

0-(-2)/3-(-3) =
`(2)/(6) (simplify) = (1)/(3)`

2. find the y-intercept

`y = mx +b` -> slope-intercept form

plug in the y-coord. and the x-coord along with the slope you found (or rather I found) and solve. It could be from either coordinate given.

`0=(1)/(3) (3)+b`

3. solve.

`0 = 1 +b`

`-1 = b`

4. write the equation with the slope and y-int you found and voila!