Respuesta :

First reorder the terms into slope intercept form, which would be y=1/6x+2. Using the rules of slope intercept the slope would just be 1/6. Hope this helped 

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We are given that the equation  of line

[tex]x-6y+12=0[/tex]

We have to find the slope of the line.

To find the slope of the line we will convert the given equation into slope intercept form.

Slope-intercept form:

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

Where m=Slope of line

C=y-Intercept value

[tex]x-6y+12=0[/tex]

Adding 6y on  both sides

Then, we get

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

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

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

[tex]y=\frac{1}{6}(x+12)=\frac{1}{6}x+2[/tex]

By comparing  withe slope-intercept form

Then, we get m=[tex]\frac{1}{6}[/tex]

Hence, the slope of line=[tex]\frac{1}{6}[/tex]

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