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Find the x- and y-intercepts of the graph of 3x + 4y = 32. State your answers as
whole numbers or as improper fractions in simplest form.

Respuesta :

mhanifa

Answer:

  • (32/3, 0)
  • (0, 8)

Step-by-step explanation:

The x- intercept is the point when y = 0:

  • 3x + 4*0 = 32 ⇒ 3x = 32 ⇒ x = 32/3

The y- intercept is the point when x = 0:

  • 3*0 + 4y = 32 ⇒ 4y = 32 ⇒ y = 8

[tex]\\ \sf\longmapsto 3x+4y=32[/tex]

X-intercept:-

  • y=0

[tex]\\ \sf\longmapsto 3x+4(0)=32[/tex]

[tex]\\ \sf\longmapsto 3x=32[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{32}{3}[/tex]

  • (32/3,0)

Y-intercept:-

  • x=0

[tex]\\ \sf\longmapsto 3(0)+4y=32[/tex]

[tex]\\ \sf\longmapsto 4y=32[/tex]

[tex]\\ \sf\longmapsto y=8[/tex]

  • (0,8)

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