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

Answer:

$y = -0.25x -1.5$

Step-by-step 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:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

This gives:

$m = \frac{-1.25 -1.5}{-1 - -12}$

$m = \frac{-2.75}{11}$

$m = -\frac{2.75}{11}$

$m = -0.25$

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

$y = -0.25x -3 + 1.5$

$y = -0.25x -1.5$