Final answer:
The point-slope form for the line with slope 1/5 and passing through the point (-6, -8) is y + 8 = (1/5)(x + 6)
Step-by-step explanation:
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the slope is 1/5 and the point given is (-6, -8). Substituting these values into the point-slope form, we get y - (-8) = (1/5)(x - (-6)). Simplifying the equation gives y + 8 = (1/5)(x + 6).
Therefore, the point-slope form for the line with slope 1/5 and passing through the point (-6, -8) is y + 8 = (1/5)(x + 6).