noah897945 noah897945
  • 03-12-2018
  • Mathematics
contestada

At which point does the graph of the equation 2x + y = 4 cross the x-axis?

Respuesta :

klove5
klove5 klove5
  • 03-12-2018

Answer:

It crosses the x-axis at 2

Step-by-step explanation:

  1. 2x+y=4
  2. move the y over
  3. 2x=4-y
  4. divide everything by 2
  5. x=2-1/2y
  6. locate the x-intercept
  7. 2
Answer Link
jdoe0001 jdoe0001
  • 03-12-2018

we can always find the x-intercept, where the graph crosses the x-axis, by simply zeroing out the "y" and solving for "x".

[tex]\bf 2x+y=4\implies \stackrel{\textit{y=0}}{2x+0=4}\implies 2x=4\implies x=\cfrac{4}{2}\implies x=2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,0)~\hfill[/tex]

Answer Link

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