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Find the x- and y-intercepts of the graph of 2x + 7y = 8. State your answers as
whole numbers or as improper fractions in simplest form.

Respuesta :

Aaronscience101

Answer:

y-intercept=8/7

x-intercept=4

Step-by-step explanation:

y=(8-2x)/7

=8/7-2/7x

Therefore y-intercept =8/7,

Subt.y=0,

8/7-2/7x=0

2/7x=8/7

x intercept=4

[tex]\\ \sf\longmapsto 2x+7y=8[/tex]

.X-intercept

  • y=0

[tex]\\ \sf\longmapsto 2x+7(0)=8[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

  • (4,0)

Y-intercept

  • x=0

[tex]\\ \sf\longmapsto 2(0)+7y=8[/tex]

[tex]\\ \sf\longmapsto 7y=8[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{8}{7}[/tex]

  • (0,8/7)

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