Respuesta :

The slope of the line is -1

Hi student, let me help you out! :)

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We are asked to find the slope of the line that contains the points (-2, 7) and (2, 3).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

  • Finding the slope is a piece of cake, as long as we use this formula:

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where:

y2 and y1 = y-coordinates

x2 and x1 = x-coordinates

Substitute the values, which gives us:

[tex]\mathrm{\cfrac{3-7}{2-(-2)}}[/tex]

Upon simplifying this,

[tex]\mathrm{\cfrac{-4}{2+2}}[/tex]

Upon simplifying this more,

[tex]\mathrm{\cfrac{-4}{4}}[/tex]

[tex]\bigstar~\mathrm{\underline{-1}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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