问题
填空题
过点A(2,-3)且与直线2x+y-5=0垂直的直线方程是______.
答案
设与直线2x+y-5=0垂直的直线方程为x-2y+c=0,
把点A(2,-3)代入,得2-2(-3)+c=0,
解得c=-8,
∴过点A(2,-3)且与直线2x+y-5=0垂直的直线方程是x-2y-8=0.
故答案为:x-2y-8=0.
过点A(2,-3)且与直线2x+y-5=0垂直的直线方程是______.
设与直线2x+y-5=0垂直的直线方程为x-2y+c=0,
把点A(2,-3)代入,得2-2(-3)+c=0,
解得c=-8,
∴过点A(2,-3)且与直线2x+y-5=0垂直的直线方程是x-2y-8=0.
故答案为:x-2y-8=0.