Question

Write the equation for a line in standard form (Ax+By+C) that is perpendicular to y = 3x -

2 and passes through the point (6,4).

Answer 1

x+3y-6=0

Explanation:

given eqn is y=3x-2 which is 3x-y-2=0

the eqn of line perpendicular to given eqn is -x+3y+k=0

it passes through (6,4)

-6+3*4+k=0

or,. -6+12+k=0

or, k= -6

therefore, the eqn of line perpendicular to given eqn is x+3y-6=0