Answer :
To find the equation of the line passing through the points (-2, -6) and (-8, 0), you can follow these steps:
1. **Calculate the slope (m) of the line using the formula:**
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting the coordinates (-2, -6) and (-8, 0):
\[ m = \frac{0 - (-6)}{-8 - (-2)} \]
\[ m = \frac{6}{-6} = -1 \]
2. **Use the point-slope form of the equation of a line:**
\[ y - y_1 = m(x - x_1) \]
Choose one of the given points, for example (-2, -6), and substitute the values:
\[ y - (-6) = -1(x - (-2)) \]
\[ y + 6 = -x - 2 \]
\[ y = -x - 8 \]
Therefore, the equation of the line passing through the points (-2, -6) and (-8, 0) is \[ y = -x - 8 \].
