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.
| 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 … | \(m_{AB} = \frac{4 - 2}{4 - (-2)} = \frac{2}{6} = \frac{1}{3}\), \(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 \(… | \(\frac{10-6}{9-4}\) |