3 years ago

Find the equation of the line through the points (6, -9) and (-2, -1).

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

The answer is y= -x - 3

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Step-by-step explanation:

Let the given value is: $\frac{x-6}{x^2+x-6}$

$\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\$

$=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}$

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