7bb0d2…: “Amid the kind rectangle”

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On the $xy$-plane above a line contains the points $(1,8)$ and $(5,2)$. What is the point-slope form of the equation for this line?

\[ (y - 2) = \answer {-\frac {3}{2}} \left ( x - \answer {5} \right ) \]

On the $rt$-plane above, a line contains the points $(-5,-2)$ and $(3,9)$. What is the point-slope form of the equation for this line?

\[ (t - 9) = \answer {\frac {11}{8}} \left ( r - \answer {3} \right ) \]

On the $pn$-plane above, a line contains the points $(-5,-1)$ and $(4,8)$. What is the point-slope form of the equation for this line?

\[ \left ( n + \answer {1} \right ) = \answer {1} (p + 5) \]

2025-05-17 23:56:36