Final answer:
To find the equation of a line perpendicular to a given line and passing through a point, determine the slope of the given line. Take the negative reciprocal of the slope to obtain the slope of the perpendicular line. Use the point-slope form of a line to write the equation.
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to know the slope of the given line. Let's assume the slope of the given line is m. Since the line we are looking for is perpendicular, its slope will be the negative reciprocal of m, which we can denote as -1/m. We also know that the line passes through the point (5, 3).
So, the equation of the line that is perpendicular to the given line and passes through the point (5, 3) is y - 3 = -1/m(x - 5), where m is the slope of the given line.