If the line ax + 2Y + 1 = 0 is perpendicular to the line x + Y-2 = 0, then a=______ .

If the line ax + 2Y + 1 = 0 is perpendicular to the line x + Y-2 = 0, then a=______ .

The line ax + 2Y + 1 = 0 and the line x + Y-2 = 0 are perpendicular to each other. Because of the existence of the slope of the line, the slope product is - 1, that is - 1 · (− A2) = - 1, so a = - 2. So the answer is: - 2