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.