Final answer:
The equation of the line passing through the point (-5, -1) and perpendicular to the line y = 2x - 2 is y = -1/2x - 3/2.
Step-by-step explanation:
To find the equation of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line. The given line has a slope of 2, so the perpendicular line will have a slope of -1/2. Using the point (-5, -1) and the slope -1/2, we can substitute these values into the slope-intercept form of a linear equation, y = mx + b, to find the y-intercept (b). The equation of the line passing through the point (-5, -1) and perpendicular to the line y = 2x - 2 is y = -1/2x - 3/2.