# You forgot to mention the centroid

Geometry Level 4

Let $$m_1, m_2$$ and $$m_3$$ denote the slopes of the three sides of a triangle $$ABC$$, and they satisfy the cubic equation $$y^3 + 8y^2+7y=1$$. Find the slope of the straight line that passes through both the orthocenter and the circumcenter of the triangle $$ABC$$.

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