# What is the equation of the line perpendicular to #y=3x # that passes through # (-1,28) #?

##### 1 Answer

Jan 4, 2016

3y + x - 83 = 0

#### Explanation:

y = 3x has a slope m =3

for perpendicular lines

equation of perpendicular line : y - b = m(x - a ) ,

substituting in these values gives

multiply through the equation by 3 will eliminate the fraction

so 3y - 84 = - x - 1

hence 3y + x -83 = 0