Final answer:
The slope of the line perpendicular to 5x - 2y = 1 is -(2/5).
Step-by-step explanation:
The equation of the line given is 5x - 2y = 1. To find the slope of a line that is perpendicular to this line, we need to determine the slope of the given line first. The slope-intercept form of a line is y = mx + b, where m represents the slope. To convert the given equation into slope-intercept form, we need to isolate y:
5x - 2y = 1
-2y = -5x + 1
y = (5/2)x - 1/2
From the equation, we can see that the slope of the given line is (5/2). Since a line perpendicular to this line will have a negative reciprocal slope, the slope of the line perpendicular to the given line is -(2/5).