如何编程计算直线和平面的交点？

# 直线的参数方程：x = x0 + t * a, y = y0 + t * b, z = z0 + t * c
# 平面的一般方程：Ax + By + Cz + D = 0

def calculate_intersection(line, plane):
    # 解方程得到未知变量的值
    t = -(plane['A'] * line['x0'] + plane['B'] * line['y0'] + plane['C'] * line['z0'] + plane['D']) / (plane['A'] * line['a'] + plane['B'] * line['b'] + plane['C'] * line['c'])
    
    # 计算交点的坐标
    intersection_point = {
        'x': line['x0'] + t * line['a'],
        'y': line['y0'] + t * line['b'],
        'z': line['z0'] + t * line['c']
    }
    
    return intersection_point

# 示例数据
line = {
    'x0': 1,
    'y0': 2,
    'z0': 3,
    'a': 2,
    'b': 3,
    'c': 4
}

plane = {
    'A': 1,
    'B': 2,
    'C': 3,
    'D': 4
}

# 计算交点
intersection = calculate_intersection(line, plane)
print(intersection)