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]
