Finding the Slope

The steepness or incline of a line is measured by its slope. This is calculated by the ratio of the vertical alteration (rise) to the horizontal alteration (run) between any two distinct points on the line. In the realm of algebra, this is denoted by 'm' in the linear equation y=mx+b. A line with a positive slope ascends, whereas a line with a negative slope descends.

The problems about Finding the Slope

Topic	Problem	Solution
None	$(4, 8)$ and $(4, - 9)$ Select the correct choice be…	Given two points (4,8) and (4,-9).
None	Draw a line representing the "rise" and a line re…	Given the coordinates of two points on the line, calculate the rise and run.
None	Slope and Equations of Lines Example 1 Determine …	$m_{A B} = \frac{4 - 2}{4 - (- 2)} = \frac{2}{6} = \frac{1}{3}$ , \(m_{CD} = \frac{-2 - 4}{1 - (-1)}…
None	QUESTION 8 Graph the line containing the given pa…	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ with $(x_{1}, y_{1}) = (- 7, 0)$ and $(x_{2}, y_{2}) = (- 1, - 1)$
None	Find the slope of the line passing through the pa…	The slope of a line passing through two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ can be calculated …
None	Find the slope of the line passing through the po…	The slope of a line passing through two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ can be found using…
None	What is the slope of the line that passes through…	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
None	Find the slope of the line that passes through \(…	$\frac{10 - 6}{9 - 4}$