What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6

y=1/6x-1

Step-by-step explanation:

Recall that the equation of a line is y = mx + b.

We know the line passes through (-6, -2), so we substitute x and y in the equation of a line. We also know the variable m (the slope) is 1/6. It would look something like this: -2=(1/6)(-6) + b.

From here, we can solve for b:

b + (1/6)(-6) = -2

b - 1 = -2

b = -1

The equation of the line that passes through the point (-6,-2) with a slope of 1/6  is  y=1/6x-1.

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