Find the slope of a line perpendicular to the line whose equation is 5, x, minus, y, equals, minus, 75x−y=−7. Fully simplify your answer.
To find the slope of the line 75x - y = -7, we need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope of the line.
75x - y = -7
y = 75x + 7
Now we can see that the slope of the line is 75.
Since the slope of a line perpendicular to a line with slope m is the negative reciprocal of m, the slope of a line perpendicular to the line 75x - y = -7 is:
-1/75
Therefore, the slope of a line perpendicular to the given line is -1/75.