Respuesta :

Answer:

  • See below

Step-by-step explanation:

Vertical length of the larger triangle is:

  • 0 - (-4) = 4

Horizontal length of the larger triangle is:

  • 0 - (-6) = 6

The fraction:

  • 4/6 = 2/3

This fraction represents the slope of the hypotenuse (or the red line)

  • Vertical length =y co-ordinates distance
  • Horizontal length=x co-ordinates distance

Horizontal length:-.

[tex]\\ \sf\longmapsto |0-6|=|-6|=6units[/tex]

Vertical length:-

[tex]\\ \sf\longmapsto |0-4|=|-4|=4units[/tex]

Fraction:-

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]

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