21.6k views
3 votes
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Write the equation of the line x 3y

1 Answer

7 votes

Answer:


y = -3x + 14

Explanation:

Required

The equation of line

perpendicular to :
x -3y =9

Passes through
(3,5)

We have:


x -3y =9

Make y the subject


3y =x - 9

Solve for y


y = (x)/(3) - 3

Compare the above equation to
y = mx + c


m =(1)/(3) ---- This represents the slope

Since the line is perpendicular to
x -3y =9, then its slope is:


m_2 = -(1)/(m)


m_2 = -(1)/(1/3)


m_2 =-3

The equation of the perpendicular line is:


y =m_2(x - x_1) + y_1

Where:


m_2 =-3


(x_1,y_1) =
(3,5)

So:


y = -3(x - 3) + 5


y = -3x + 9 + 5


y = -3x + 14

User Kishan Parmar
by
7.3k points