What is the slope of the line that passes through the points 2, 9, (2,9) and 18, minus, 3 (18,−3) Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (2, 9) and (18, -3). Plugging these values into the formula, we get:
slope = (-3 - 9) / (18 - 2)
= -12 / 16
= -3 / 4
Therefore, the slope of the line passing through the points (2, 9) and (18, -3) is -3/4.