To extend a line segment 10 units up from the starting point \((-4, -3)\) on a coordinate grid, you will need to add 10 units to the y-coordinate of the starting point while keeping the x-coordinate the same.
The starting point is: \[ (-4, -3) \]
To move upwards, we add 10 to the y-coordinate: \[ y = -3 + 10 = 7 \]
Thus, the new point after extending the line segment 10 units up is: \[ (-4, 7) \]
So, the line segment extends from the point \((-4, -3)\) to the point \((-4, 7)\).