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

You are given four ordered pairs (–12, 1.5), (−1, –1.25), (5, –2.75), (8, −3.5). You can rewrite them as a function in following way:

f(-12)=1.5,

f(-1)=-1.25,

f(5)=-2.75,

f(8)=-3.5.

The slope-intercept rule has aform f(x)=mx+b, where m and b are constants. Find them:

1. f(-12)=m·(-12)+b=1.5,

2. f(-1)=m·(-1)+b=-1.25.

You get the system of two linear equations:

Subtract from the second equation the first one:

Then

-(-0.25)+b=-1.25,

b=-1.25-0.25,

b=-1.5

The slope-intercept rule for the function is f(x)=-0.25x-1.5.

michael scott & dwight schrute

step-by-step explanation:

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