Question

Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x+2.

Answer 1

`y=(2)/(5)x-5`

Explanation:

`y=(2)/(3)x+4`

the line parallel to this line is

`y=(2)/(3)x+k` ; k ∈ R

the line passes through the point (3,6)

so,

`6=(2)/(3) (3)+k\\6=2 +k\\k=4`

∴the line that passes through point (2, -1) and is parallel to the line described y = (2/3)x - 6 is

`y=(2)/(3)x+4`