1. **Problem Statement:** Arrange the given slope values $3$, $\frac{4}{5}$, $-4$, $-\frac{11}{2}$, $1.5$, and $0$ in order from least steep to most steep.
2. **Understanding Slope:** The slope of a line measures its steepness and direction. A positive slope means the line rises as it moves from left to right, a negative slope means it falls, and zero slope means the line is horizontal.
3. **Convert all slopes to decimal for easy comparison:**
- $3$ stays $3$
- $\frac{4}{5} = 0.8$
- $-4$ stays $-4$
- $-\frac{11}{2} = -5.5$
- $1.5$ stays $1.5$
- $0$ stays $0$
4. **Order the slopes from least to greatest:**
- $-5.5$ (steepest negative)
- $-4$
- $0$
- $0.8$
- $1.5$
- $3$ (steepest positive)
5. **Final ordered sequence from least steep to most steep:**
$$-\frac{11}{2}, -4, 0, \frac{4}{5}, 1.5, 3$$
This sequence arranges the slopes from the most negative (steepest downward) to the most positive (steepest upward).
Slope Ordering
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