Fsamim75 Fsamim75
  • 09-02-2022
  • Mathematics
contestada

Find a formula for the linear function passing through the points (-1,14) and (2,-10)

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nktselepov
nktselepov nktselepov
  • 09-02-2022

A(-1;14), x=-1, y=14

B(2;-10), x=2, y=-10

General equation for linear function is [tex]y=mx+b[/tex]

Let's solve system of equations

[tex]\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6[/tex]

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