Final answer:
The slope of any line perpendicular to y = -5x + 7 is 1/5.
Step-by-step explanation:
The slope of any line perpendicular to the graph of y = -5x + 7 can be determined by taking the negative reciprocal of the slope of the given line.
The given equation is in the form y = mx + b, where m represents the slope.
In this case, the slope is -5.
To find the slope of a line perpendicular to this, we can take the negative reciprocal.
The reciprocal of -5 is -1/5, and taking the negative of this gives us a slope of 1/5.