Final answer:
The slope of a line parallel to the line 9x + 7y = -7 is -9/7, as parallel lines have the same slope.
Step-by-step explanation:
To find the slope of a line parallel to the given line 9x + 7y = -7, you need to first write the equation of the given line in slope-intercept form, which is y = mx + b, where m represents the slope, and b represents the y-intercept. By rearranging the given equation to solve for y, we get:
7y = -9x - 7
y = (-9/7)x - 1
The slope of this line is -9/7. Since parallel lines have the same slope, any line parallel to this one will also have a slope of -9/7.