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lina2011 [118]
2 years ago
5

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

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
5 0

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

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

General equation for linear function is y=mx+b

Let's solve system of equations

\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

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Domain:\ x\neq-2\\\\\dfrac{x+2}{x-4}

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therefore \dfrac{x + 2}{x - 4}=\dfrac{(-)}{(-)}>0

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therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(-)} < 0

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therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(+)} > 0

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