how to write equation

Question

Write the equation of a line perpendicular to the given line and passing through the given point.  y=-2/3x +2; (3,3)

Answer 1

Since it is perpendicular, its slope must be

 

m = -1/(-2/3) = 3/2

 

In point-slope form,

 

y - y₁ = m(x - x₁)

 

x₁ = 3

y₁ =3

m = 3/2

 

Now just plug these numbers into the point-slope equation.