Find the slope of the line that passes through (10, 7) and (6, 16).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found by using the formula
slope = (y2 - y1) / (x2 - x1).
With (x1, y1) = (10, 7) and (x2, y2) = (6, 16), we can substitute the values into the formula:
slope = (16 - 7) / (6 - 10)
= 9 / (-4).
Since 9 and -4 have no common factors other than 1, the fraction 9 / (-4) cannot be simplified further.
Thus, the slope of the line is -9/4.