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19-12-2018
Mathematics

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Write a linear function that passes through the points (-5, -6) and (2, 8).

Respuesta :

22-12-2018

The point-slope form of line:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-5, -6) and (2, 8). Substitute:

[tex]m=\dfrac{8-(-6)}{2-(-5)}=\dfrac{8+6}{2+5}=\dfrac{14}{7}=2\\\\y-(-6)=2(x-(-5))\\\\\boxed{y+6=2(x+5)}[/tex]

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