What is the perpendicular y=3x-4,(-4,5) ?

The perpendicular y=3x-4,(-4,5) is y=-1/3 x+11/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

perpendicular y=3x-4,(-4,5)

perpendicular

y = 3 x - 4, (- 4, 5)

y = - \frac{1}{3} x + \frac{11}{3}

Solution steps

Find the line

y = mx + b

perpendicular to

y = 3 x - 4

that passes through

(- 4, 5)

Find the slope of

y = 3 x - 4 : m = 3

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{3}

Find the line with slope m=

- \frac{1}{3}

and passing through

(- 4, 5) : y = - \frac{1}{3} x + \frac{11}{3}

y = - \frac{1}{3} x + \frac{11}{3}

What is the perpendicular y=3x-4,(-4,5) ?
The perpendicular y=3x-4,(-4,5) is y=-1/3 x+11/3