Line j passes through points (1, 3) and (8, 8). Line k is perpendicular to j. What is the slope of line k?
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (change in y) / (change in x) = (y2-y1) / (x2-x1)
For line j passing through (1, 3) and (8, 8), we have:
slope_j = (8-3) / (8-1) = 5/7
Since line k is perpendicular to line j, the slope of line k is equal to the negative reciprocal of the slope of line j.
Thus, the slope_k = -1 / slope_j = -1 / (5/7) = -7/5
Therefore, the slope of line k is -7/5.