Final answer:
The equation of the line in point-slope form that passes through the point (-6, -1) with a slope of -1 is y + 1 = -1(x + 6). It represents a straight line with negative slope that moves downward as it goes from left to right on a graph.
Step-by-step explanation:
The question asks for an equation of a line in point-slope form that passes through the point (-6, -1) and has a slope of -1. To write the equation in point-slope form (y - y1 = m(x - x1)), where m is the slope and (x1, y1) is the given point, we simply plug in the values.
Using the given point (-6, -1) and slope -1, the equation becomes:
y + 1 = -1(x +6)
This is the point-slope form of the line. We can see that since the slope is negative, it is a straight line with negative slope, meaning it moves downward as the x-value increases. This is in contrast to a line with a positive slope which would move upward as the x-value increases.