Respuesta :

The slope is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given that the slope is 1/5, then

[tex]\begin{gathered} y_2-y_1=1 \\ x_2-x_1=5 \end{gathered}[/tex]

Where,

[tex]\begin{gathered} x_1=5 \\ y_1=1 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} y_2-1=1\rightarrow y_2=1+1=2 \\ x_2-5=5\rightarrow x_2=5+5=10 \end{gathered}[/tex]

Hence, the second point is (10,2).

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