Line m passes through points (2, 11) and (10, 8). Line n is perpendicular to m. What is the slope of line n?
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
For line m, the points are (2, 11) and (10, 8), so the slope of line m is:
slope_m = (8 - 11) / (10 - 2) = -3 / 8
Since line n is perpendicular to line m, the slope of line n is the negative reciprocal of the slope of line m. Therefore, the slope of line n is:
slope_n = -1 / slope_m = -1 / (-3 / 8) = 8 / 3