BowieP436391 BowieP436391
  • 03-11-2022
  • Mathematics
contestada

What is the slope of the line that passes through the points (4,8) and (2, 12) ? Write your answer in the simplest form.

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ScottiJ614264 ScottiJ614264
  • 03-11-2022

The slope of a line is;

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

Given the points;

[tex]\begin{gathered} (4,8),(2,12) \\ x_1=4,y_1=8,x_2=2,y_2=12 \end{gathered}[/tex]

Then, the slope of the line that passes through the points is;

[tex]\begin{gathered} m=\frac{12-8}{2-4} \\ m=\frac{4}{-2} \\ m=-2 \end{gathered}[/tex]

Hence, the slope m, is;

[tex]m=-2[/tex]

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