Subjects algebra

Line Rise Run Ae6A06

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1. The problem asks to draw lines representing the "rise" and "run" of a line and to state the slope in simplest form. 2. The slope $m$ of a line is defined as the ratio of the rise (vertical change) to the run (horizontal change): $$m = \frac{\text{rise}}{\text{run}}$$ 3. To find the slope, identify the vertical change (rise) and horizontal change (run) between two points on the line. 4. Simplify the fraction by canceling common factors to express the slope in simplest form. 5. For example, if the rise is 4 units and the run is 6 units, then: $$m = \frac{4}{6}$$ 6. Cancel the common factor 2: $$m = \frac{\cancel{4}^{2}}{\cancel{6}^{3}} = \frac{2}{3}$$ 7. Therefore, the slope of the line in simplest form is $\frac{2}{3}$.