how to write equation

Question

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

Answer 1

Parallel lines have the same slope, so m=-2/3.

 

Using point-slope form, y-y₁=m(x-x₁).

 

y-3=-2/3(x-3)

 

Simplifying gives y=-2/3x+5.