To find the slope of the line L that goes through two points - (5,9) and (-4,6), we need to use the formula for calculating slopes which is:
slope = (y2-y1) / (x2-x1)
In the given points, the coordinates (5,9) can be taken as (x1, y1) and (-4,6) as (x2, y2).
First, let's calculate the difference of the y-coordinates (diff_y), which is y2 - y1. In this case, it would be:
diff_y = 6 - 9 = -3
Next, we calculate the difference of the x-coordinates (diff_x), which is x2 - x1:
diff_x = -4 - 5 = -9
To find the slope, we then divide the diff_y value by the diff_x value:
So, slope = diff_y / diff_x = -3 / -9 = 0.3333333333333333
Therefore, the slope of line L passing through the points (5,9) and (-4,6) is approximately 0.333.