Question: Answer
Attempt 1 out of 2
Slope of the Line:
Graph: A straight decreasing line with arrows on both ends, crossing the y-axis at $(0, 0)$ and passing through approximately $(10, -7)$ and $(-10, 7)$; position_hint: center
1. **State the problem:** Find the slope of the line passing through the points $(0,0)$ and $(10,-7)$.
2. **Formula for slope:** The slope $m$ of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Identify points:** Here, $(x_1,y_1) = (0,0)$ and $(x_2,y_2) = (10,-7)$.
4. **Substitute values:**
$$m = \frac{-7 - 0}{10 - 0} = \frac{-7}{10}$$
5. **Simplify:** The fraction $\frac{-7}{10}$ cannot be simplified further.
6. **Interpretation:** The slope is negative, indicating the line is decreasing as we move from left to right.
**Final answer:**
$$m = -\frac{7}{10}$$