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Each pair of points lies on a line with the given slope. Find y. (2,2), (5,y); slope: 2

Each pair of points lies on a line with the given slope. Find y. (2,2), (5,y); slope: 2
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Each pair of points lies on a line with the given slope. Find y. (2,2), (5,y); slope: 2

User Marsibarsi
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\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 2}}\quad ,&{{ 2}})\quad % (c,d) &({{ 5}}\quad ,&{{ y}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{y-2}{5-2}=\stackrel{slope}{2}\implies \cfrac{y-2}{3}=2 \\\\\\ y-2=6\implies y=8
User Narayanan
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