find the slope if it exists of the line containing the pair of points

(5,1)and (6,-2)
the slope is M=
the slope is undefined
Help!!!!!

(5,1), (6,-2).

m = (-2-1) / (6-5) = -3 / 1 = -3.

To find the slope of a line containing two points, you can use the formula:

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

Let's calculate the change in y-coordinates:

change in y = y2 - y1

Given points: (5, 1) and (6, -2)
change in y = -2 - 1 = -3

Now calculate the change in x-coordinates:

change in x = x2 - x1

change in x = 6 - 5 = 1

Now substitute the values into the slope formula:

slope (m) = -3 / 1 = -3

Therefore, the slope (m) of the line containing the pair of points (5, 1) and (6, -2) is -3.

Note: The statement "The slope is undefined" might be applicable if the denominator (change in x-coordinates) becomes zero in the slope formula. In that case, the line is vertical, and its slope is undefined. However, in this case, the slope is not undefined.