Question

Use the ordered pairs to give a function rule. Give the rule in slope intercept form {(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)}

Answer 1

`y = -0.25x -1.5`

Explanation:

Given

`(x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}`

Required

The function rule (in slope intercept)

First, we calculate the slope (m) using:

`m = (y_2 -y_1)/(x_2 - x_1)`

This gives:

`m = (-1.25 -1.5)/(-1 - -12)`

`m = (-2.75)/(11)`

`m = -(2.75)/(11)`

`m = -0.25`

The equation is then calculated using:

`y = m(x - x_1) + y_1`

This gives:

`y = -0.25(x - -12) + 1.5`

`y = -0.25(x +12) + 1.5`

Open bracket

`y = -0.25x -3 + 1.5`

`y = -0.25x -1.5`