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Which of the point-slope equations below are correct for the line that passes through points (6,5) and (3,3)
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Which of the point-slope equations below are correct for the line that passes through points (6,5) and (3,3)

User Tilman Schweitzer
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\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 6 &,& 5~) % (c,d) &&(~ 3 &,& 3~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-5}{3-6}\implies \cfrac{-2}{-3}\implies \cfrac{2}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=\cfrac{2}{3}(x-6)
User Ocaj Nires
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