What is the slope of the line that passes through the points 9,-10 and 14,5 Write your answer in simplest form.
To find the slope of a line passing through two points, we can use the formula:
slope = (change in y)/(change in x)
Let's call the first point (x1, y1) and the second point (x2, y2).
Here, the first point is (9, -10) and the second point is (14, 5).
So, x1 = 9, y1 = -10, x2 = 14, and y2 = 5.
The slope would be:
slope = (y2 - y1)/(x2 - x1)
= (5 - (-10))/(14 - 9)
= (5 + 10)/(14 - 9)
= 15/5
= 3
So, the slope of the line passing through the points (9, -10) and (14, 5) is 3.