calculate the slop of (3.0,13) and (10.5,40) step by step

To calculate the slope between two points, we use the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (3.0, 13) and (10.5, 40), we can plug in the values:

m = (40 - 13) / (10.5 - 3.0)
m = 27 / 7.5
m = 3.6

So, the slope between the two points is 3.6.

now do it for (7.5,53) and (6.0,45)

To calculate the slope between the points (7.5, 53) and (6.0, 45), we use the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values:

m = (45 - 53) / (6.0 - 7.5)
m = -8 / -1.5
m = 5.33

Therefore, the slope between the points (7.5, 53) and (6.0, 45) is 5.33.