Line s passes through points (5, 4) and (3, 9). Line t is perpendicular to s. What is the slope of line t?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
First, let's find the slope of line s using the formula:
slope = (y2 - y1)/(x2 - x1)
Using the points (5, 4) and (3, 9):
slope_s = (9 - 4)/(3 - 5) = 5/-2 = -5/2
Since line t is perpendicular to line s, the product of their slopes is -1. Therefore, the slope of line t would be the negative reciprocal of the slope of line s:
slope_t = 2/5
So, the slope of line t is 2/5.