What is the given slope of the line that passes through the given points

(2,12) and (6,11)

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Using the given points (2,12) and (6,11), we can calculate the slope as follows:

slope = (11 - 12) / (6 - 2)
= -1 / 4

Therefore, the given slope of the line passing through the given points is -1/4.

To find the slope of a line passing through two points (x1, y1) and (x2, y2), you can use the slope formula:

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

Given points are (2,12) and (6,11), where (x1, y1) = (2,12) and (x2, y2) = (6,11).

Now, substitute the values into the formula:

slope = (11 - 12) / (6 - 2)

Simplifying the calculation:

slope = (-1) / 4

Therefore, the given slope of the line passing through the given points (2,12) and (6,11) is -1/4.

To find the slope of a line passing through two given points, we can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Given the points (2,12) and (6,11), we can calculate the change in the y-coordinates and the change in the x-coordinates.

(change in y-coordinates) = 11 - 12 = -1
(change in x-coordinates) = 6 - 2 = 4

Now, we can substitute these values into the slope formula:

slope = (-1) / 4

Therefore, the slope of the line passing through the given points is -1/4.