Respuesta :

lukyo
The slope [tex]m[/tex] and a point [tex](x_{0},\;y_{0})[/tex] that the line goes through, give us a equation for the line:

[tex]y-y_{0}=m\cdot (x-x_{0})\\\\ y-2=\dfrac{5}{8}\cdot (x-8)\\\\\\ y-2=\dfrac{5}{8}\,x-\dfrac{5}{8}\cdot 8\\\\\\ y-2=\dfrac{5}{8}\,x-5\\\\\\ y=\dfrac{5}{8}\,x-5+2\\\\\\ \boxed{\begin{array}{c} y=\dfrac{5}{8}\,x-3 \end{array}}[/tex]

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