Final answer:
The equation of the line with a slope of -1/8 and passes through the point (-6,7) in point-slope form is y - 7 = -1/8(x + 6).
Step-by-step explanation:
To find the equation of a line in point-slope form, we use the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the slope is -1/8 and the point is (-6,7). Plugging these values into the formula, we get y - 7 = -1/8(x - (-6)). Simplifying further, y - 7 = -1/8(x + 6). This is the equation of the line in point-slope form.