Question

Create an equation of a line that is perpendicular to  y = 2 3 x − 3

Answer 1

Given data:

The given equation of the line is y= 2x/3 -3.

The standard equation of the line is,

`y=mx+c`

Compare the above equation with the given equation.

`m=(2)/(3)`

The equation of the line perpendicular to the given line is,

`\begin{gathered} y-b=-(1)/(((2)/(3)))(x-a) \\ y-b=-(3)/(2)(x-a) \\ y=-(3)/(2)x+(3a)/(2)+b \end{gathered}`

Thus, the equation of the line perpendicular to the given line is y=-3x/2 +3a/2 +b.