Answer: The slope of a line perpendicular to y = -5x - 1 is 5, as the slopes are negative reciprocals of each other. To find the equation of a line passing through the point (10, 3), we can use the point-slope form of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is the point the line passes through, m is the slope of the line, and y and x are the variables representing the coordinates of a point on the line.
Plugging in the given values:
y - 3 = 5(x - 10)
Simplifying, we get:
y = 5x - 25 + 3
y = 5x - 22
So the equation of the line is y = 5x - 22
Explanation: