Question

True or false. If a line L1has equation y = mx + b, where m and b are constants with m ≠ 0, then an equation of a line L2 perpendicular to L1 has the form y = -1/m x  C, where C is a constant.

Answer 1

`L_1:y=mx+b\\\\L_2:y=-(1)/(m)\ *\ C\\\\L_1\ \perp\ L_2-FALSE\\--------------------\\L_3\ \perp\ L_1\iff L_3=-(1)/(m)+C`