isabelayoungwolf
isabelayoungwolf isabelayoungwolf
  • 01-12-2019
  • Mathematics
contestada

what is 6x +3y=12 in slope intercept form

Respuesta :

gmany
gmany gmany
  • 01-12-2019

Answer:

y = -2x + 4

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation in a standard form:

[tex]6x+3y=12[/tex]

Convert:

[tex]6x+3y=12[/tex]             subtract 6x from both sides

[tex]6x-6x+3y=-6x+12[/tex]

[tex]3y=-6x+12[/tex]              divide both sides by 3

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}+\dfrac{12}{3}[/tex]

[tex]y=-2x+4[/tex]

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