The slope of a line that contains the points (5,-3) and (7,3) is 3.
Given the following data:
- Points on the x-axis (\(x_{1}, x_{2}\)) = 5, 7
- Points on the y-axis (\(y_{1}, y_{2}\)) = -3, 3
In this exercise, you're required to find the slope of a line that contains the given points.
Mathematically, the slope (m) of an equation of line is given by the formula;
\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substituting the points into the formula, we have;
\(Slope. \;m = \frac{3 - [-3]}{7 - 5}\\\\Slope. \;m = \frac{3\; + \;3}{2}\\\\Slope. \;m = \frac{6}{2}\)
Slope (m) = 3
Therefore, the slope of a line that contains the given points is 3.
Find more information on slope here: brainly.com/question/19131126
