solve: (4, 7), (2, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To solve for the slope of the line passing through the points (4, 7) and (2, 6), we first need to find the change in y-coordinates (vertical change) and change in x-coordinates (horizontal change).
Change in y-coordinates: 7 - 6 = 1
Change in x-coordinates: 4 - 2 = 2
The slope of the line is given by the formula: m = (change in y-coordinates) / (change in x-coordinates).
Substituting the values:
m = 1 / 2
Thus, the slope of the line passing through the given points is 1/2.
However, if you are looking to simplify the slope, note that 1/2 is already in its simplest form. Therefore, the answer is 1/2.
(2, 4), (6, 2). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To solve for the slope of the line passing through the points (2, 4) and (6, 2), we first need to find the change in y-coordinates (vertical change) and change in x-coordinates (horizontal change).
Change in y-coordinates: 4 - 2 = 2
Change in x-coordinates: 2 - 6 = -4
The slope of the line is given by the formula: m = (change in y-coordinates) / (change in x-coordinates).
Substituting the values:
m = 2 / -4
It is important to simplify the fraction to its simplest form. In this case, the fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (2).
Simplifying the fraction:
m = 1 / -2
Thus, the slope of the line passing through the given points is -1/2.
solve: (4, 3), (0, 0)
To solve for the slope of the line passing through the points (4, 3) and (0, 0), we first need to find the change in y-coordinates (vertical change) and change in x-coordinates (horizontal change).
Change in y-coordinates: 3 - 0 = 3
Change in x-coordinates: 4 - 0 = 4
The slope of the line is given by the formula: m = (change in y-coordinates) / (change in x-coordinates).
Substituting the values:
m = 3 / 4
The fraction 3/4 is already in its simplest form. Therefore, the slope of the line passing through the given points is 3/4.