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Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answer :

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coordinates: (4, 7) and (4, –3)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_2}[/tex]

find slope:

[tex]\rightarrow \sf \dfrac{-3-7}{4-4}[/tex]

undefined

  • Here the slope is undefined

equation : x = 4

  • The line is a vertical line meaning no y-intercept.
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