P(6,6) y=2/3x

i need a equation of the line perpendicular to the given line that contains p ( can anybody answer the full problem (showing work for 35 points) ? ?

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

Now, we compare the given equation by standard form

So, slope of the line , and

y-intercept

We know that the slope of the perpendicular line

So, the slope of the perpendicular line

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

Substitute point and

So, the y-intercept of the perpendicular line

Using point slope formula.

Substitute and in above equation.

Therefore: the equation of the perpendicular line

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3