Respuesta :

[tex]\bf \begin{array}{ccllll} \begin{array}{cllll} HCF\\ x \end{array} & \begin{array}{cllll} \$\\ y \end{array}\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 19&31.91\\ 47&69.71 \end{array}\\\\ -----------------------------\\\\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 19}}\quad ,&{{ 31.91}})\quad % (c,d) &({{ 47}}\quad ,&{{ 69.71}}) \end{array}[/tex]

[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{69.71-31.91}{47-19} \\\\\\ m=\cfrac{rise}{run}\implies \cfrac{37.8}{26}\iff \cfrac{189}{130} \\\\\\ \textit{now, what if HCF is 35? HCF is "x" or the "run"} \\\\\\ \cfrac{rise}{run}\qquad \cfrac{rise}{35}=\cfrac{189}{130}\implies rise=\cfrac{35\cdot 189}{130}[/tex]

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