Step 1: Determine b by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.
[tex]y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b[/tex]
Step 2: Now that we have b, we can determine the equation of the line.
[tex]y = \frac{1}{6}x -1[/tex]
I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.
