To write the equation of a line in point-slope form, you use the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope. In this case, the point is \((-3, -7)\) and the slope \(m = -\frac{6}{5}\).
Plugging in the values:
- \(x_1 = -3\)
- \(y_1 = -7\)
- \(m = -\frac{6}{5}\)
The equation becomes:
\[ y - (-7) = -\frac{6}{5}(x - (-3)) \]
This simplifies to:
\[ y + 7 = -\frac{6}{5}(x + 3) \]
So the equation of the line in point-slope form is:
\[ y + 7 = -\frac{6}{5}(x + 3) \]