Difference between revisions of "Slope"
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===Slope Between Two Points=== | ===Slope Between Two Points=== | ||
| − | Given two points <math> (x_1, y_1) </math> and <math> (x_2, y_2) </math>, the slope between these two points is <math> m = \frac{y_2 - y_1}{x_2 - x_1}</math>. That is, the slope between two points is the difference between the y-coordinates of the points, divided by the difference between the x-coordinates of the points. For example, the slope between the two points (1, 3) and (5, 6) is <math> \frac{6 - 3}{5 - 1} = \frac{3}{4}</math>. | + | Given two points <math> (x_1, y_1) </math> and <math> (x_2, y_2) </math>, the slope between these two points is <math> m = \frac{y_2 - y_1}{x_2 - x_1}</math>. That is, the slope between two points is the difference between the y-coordinates of the points, divided by the difference between the x-coordinates of the points. For example, the slope between the two points (1, 3) and (5, 6) is <math> \frac{6 - 3}{5 - 1} = \frac{3}{4}</math>. The slope between (-1, -1) and (15, -21) is <math> \frac{-21 - (-1)}{15 - (-1)} = \frac{-21 + 1}{15 + 1} = \frac{-20}{16} = \frac{-5}{4}</math>. |
===Point-Slope Form=== | ===Point-Slope Form=== | ||
Revision as of 12:29, 20 September 2021
Slope Between Two Points
Given two points Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (x_1, y_1) } and , the slope between these two points is . That is, the slope between two points is the difference between the y-coordinates of the points, divided by the difference between the x-coordinates of the points. For example, the slope between the two points (1, 3) and (5, 6) is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{6 - 3}{5 - 1} = \frac{3}{4}} . The slope between (-1, -1) and (15, -21) is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{-21 - (-1)}{15 - (-1)} = \frac{-21 + 1}{15 + 1} = \frac{-20}{16} = \frac{-5}{4}} .
Point-Slope Form
Slope-Intercept Form
Resources
- Slope Between Points, Illustrative Mathematics
