Respuesta :

Answer:

slope (m) = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Find the slope by using the following equation:

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

Let:

([tex]x_1 , y_1[/tex]) = (1 , 2)

([tex]x_2 , y_2[/tex]) = (7 , 7)

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{7 - 2}{7 - 1} = \frac{5}{6}[/tex]

slope (m) = [tex]\frac{5}{6}[/tex]

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[tex] \LARGE{ \underline{ \purple{ \bf{Required \: answer:}}}}[/tex]

We can find the slope (m) by using the formula:

  • [tex] \rm{m = \dfrac{y2 - y1}{x2 - x1} }[/tex]

The points given to us:

  • (x1 , y1) = (1 , 2)
  • (x2 , y2) = (7 , 7)

Plugging the given values of x1, y1, x2 and y2 to find the slope:

[tex] \rm{m = \dfrac{7 - 2}{7 - 1} }[/tex]

This is equals to,

[tex] \rm{m = \dfrac{5}{6} }[/tex]

And this is our required result....

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