Lauramadrigal18 Lauramadrigal18
  • 24-07-2019
  • Mathematics
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What is the slope of the line with equation 6x+3y=12?

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gmany
gmany gmany
  • 24-07-2019

Answer:

The slope m = -2

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 the standard form:

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

Convert to the slope intercept form:

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

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

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

slope: m = -2

y-intercept: b = 4

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