Final answer:
The slope perpendicular to the line passing through the points (29, 24) and (3, 4) is -(13/10).
Step-by-step explanation:
To find the slope perpendicular to a line passing through two points, we first need to find the slope of the line connecting the two points. The formula to find the slope is given by m = (y2 - y1) / (x2 - x1). Using the given points (29, 24) and (3, 4), we can substitute the values into the formula: m = (4 - 24) / (3 - 29) = -20 / -26 = 10/13.
The slope of the line perpendicular to another line is the negative reciprocal of the slope of that line. So, the slope perpendicular to the line passing through the given points is -(13/10).