Respuesta :

Given that,

Slope of the line, m = -6/7

It contains the point (-5,-8)

To find,

The equation of line.

Solution,

Use the formula as follows :

y = mx+b

Put x = -5 and y = -8

[tex]-8=\dfrac{-6}{7}(-5)+b\\\\b=-8-\dfrac{6}{7}\times 5\\\\b=-12.28\\\\=-\dfrac{86}{7}[/tex]

So, the equation of line is :

[tex]y=\dfrac{-6}{7}x-\dfrac{86}{7}[/tex]

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