Find Another Point 6Fe9Aa
1. **State the problem:** Find another point on the line with slope $\frac{7}{5}$ passing through the point $(-3,-2)$.
2. **Recall the slope formula:** The slope $m$ between 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. **Given:** $m = \frac{7}{5}$, $(x_1,y_1) = (-3,-2)$, find $(x_2,y_2)$.
4. **Choose a convenient $x_2$:** To find another point, pick $x_2 = 2$ (any value different from $x_1$).
5. **Use the slope formula to find $y_2$:**
$$\frac{y_2 - (-2)}{2 - (-3)} = \frac{7}{5}$$
$$\frac{y_2 + 2}{5} = \frac{7}{5}$$
6. **Multiply both sides by 5:**
$$y_2 + 2 = 7$$
7. **Solve for $y_2$:**
$$y_2 = 7 - 2 = 5$$
8. **Conclusion:** Another point on the line is $(2,5)$.