What is the perpendicular x-3y=9,(3,5) ?

The perpendicular x-3y=9,(3,5) is y=-3x+14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

perpendicular x-3y=9,(3,5)

perpendicular

y = - 3 x + 14

Solution steps

Find the line

y = mx + b

perpendicular to

x - 3 y = 9

that passes through

(3, 5)

Find the slope of

x - 3 y = 9 : m = \frac{1}{3}

Compute the slope of the perpendicular line:

m_{p} = - 3

Find the line with slope m=

- 3

and passing through

(3, 5) : y = - 3 x + 14

y = - 3 x + 14

What is the perpendicular x-3y=9,(3,5) ?
The perpendicular x-3y=9,(3,5) is y=-3x+14