find an equation of the linear function f using the given information. please show all steps and work

f(-1)=1, f(1)= -2

2 answers

f(x1)=y1
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f(-1)=1
So x1=-1 and y1=1

f(x2)=y2
------------
f(1)=-2
So x2=1 and y2=-2

We have two points: (x1, y1) and (x2, y2) = (-1, 1) and (1, -2).

The slope between those two points is (y2-y1)/(x2-x1) = (-2-1)/(1-(-1)) = -3/2 = m

The equation for a line is (y-y1) = m(x-x1). Plug in y1, m, and x1 to get the answer.

[When you solve for y, you should get y=-3/2x-1/2]
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