Answer:
y=1/6x+2
Explanation:
Hi there!
We want to find the equation of the line that passes through (-6, 1) and has a slope of 1/6
The typical way to write the equation of the line is y=mx+b, where m is the slope, and b is the y intercept
As we are already given the slope (1/6), we can immediately substitute that into the equation:
y=1/6x+b
Now we need to find b
As the equation of the line passes through (-6, 1), we can substitute its values into the equation to solve for b
Substitute the value of x as -6 and the value of y as 1
1=1/6(-6)+b
Multiply
1=-1+b
Add 1 to both sides
2=b
Substitute 2 as b
y=1/6x+2
Hope this helps!