# Should I plot them? 2

Calculus Level 3

A straight line is to be drawn through a point whose coordinates are $$(x,y)=(2,-1)$$ as tangent to the curve $$y=x^2-5x+6$$. Let the coordinates of the points where the line is tangent to the curve be $$(x_1,y_1)$$ and $$(x_2,y_2)$$.

Find $$x_1+y_1+x_2+y_2$$.

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