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]