Find the slope of the line that passes through the pair of points. (4, 5), (10,0)

Solution:

The slope formula is used to find the steepness of a line and how much it's inclined. 

To find the slope of the lines, the x and y coordinates of a line are used. 

It is also explained as the ratio of the change in the y-axis to the change in the x-axis.

The formula used is

m = (y₂ - y₁) / (x₂ - x₁)

The points given here are (4, 5) and (10, 0)

Substituting these values

m = (0 - 5) / (10 - 4)

m = -5/6

Therefore, the slope of the line is -5/6.

Find the slope of the line that passes through the pair of points. (4, 5), (10,0)

Summary:

The slope of the line that passes through the pair of points (4, 5) and (10, 0) is -5/6.