Question: y
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What is the slope of the line?
The graph shows a line rising from bottom-left to top-right, passing through the origin and points approximately (1, 2) and (2, 4); position_hint: center.
1. **State the problem:** We need to find the slope of the line passing through the points $(0,0)$, $(1,2)$, and $(2,4)$.
2. **Formula for slope:** The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Choose two points:** Let's use points $(0,0)$ and $(1,2)$.
4. **Calculate the slope:**
$$m = \frac{2 - 0}{1 - 0} = \frac{2}{1}$$
5. **Simplify:**
$$m = 2$$
6. **Interpretation:** The slope of the line is $2$, meaning the line rises $2$ units vertically for every $1$ unit it moves horizontally to the right.
**Final answer:** The slope of the line is $2$.